Math Success Reproducible Worksheets. Reproducible Worksheets for: Percents and Ratios

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1 Math Success Reproducible Worksheets Reproducible Worksheets for: Percents and Ratio These worksheets practice math concepts explained in Percents and Ratios (ISBN ), written by Lucille Caron and Philip M. St. Jacques. Math Success reproducible worksheets are designed to help teachers, parents, and tutors use the books in the Math Success series in the classroom and home. Teachers, librarians, tutors, and parents are granted permission and encouraged to make photocopies of these worksheets. These worksheets are reproducible for educational use only and are not for resale Enslow Publishers, Inc. Visit and search for the Math Success series and download worksheets for the following titles: Addition and Subtraction Multiplication and Division Fractions and Decimals Percents and Ratios Geometry Pre Algebra and Algebra Titles in this series can be purchased directly from: Enslow Publishers, Inc. 40 Industrial Road, Box 398 Berkeley Heights, NJ Phone: customerservice@enslow.com Web Page:

2 Reducing Ratios Reducing ratios is just like reducing fractions. Example: 1. Reduce 30 to 15 to lowest terms. Divide by to 1 2. Reduce to lowest terms. Divide by Reduce 9:18 to lowest terms. Divide by 9. 1:2 Write ratios using each of the above methods. Reduce these ratios to lowest terms. 8 Example: 8 hits for 20 at bats 8 to 20 2 to 5 2 8:20 2: a. 63 girls on 7 teams b. 20 uniforms for 10 boys c. 18 pages for 45 questions d. 40 candies for 6 boxes e. 32 pizza slices in 4 pies f. 32 ribbons for 10 girls g. 9 hamburgers for 3 people h. 5 miles represented by 3 inches i. 16 people to 4 cars j. 25 birds to 5 cages k. 6 letters in 2 mailboxes ISBN , pages

3 Ratios and Percents First Term A percent compares a number to 100. The number is always the first term. The first term can be less than 100, equal to 100, or greater than 100. The second term is always 100. First Term Less than 100 Example: Write 35% as a ratio. 35 to 100 Divide each number by 5. 7 to 20 Write each percent as a ratio and reduce to lowest terms. a. 60% b. 75% c. 30% d. 25% e. 85% f. 40% First Term Greater than 100 Example: Write 300% as a ratio. 300 to 100 Divide by to 1 Write each percent as a ratio and reduce to lowest terms. a. 550% b. 600% c. 150% d. 105% e. 125% f. 175% g. 200% h. 900% i. 850% ISBN , pages

4 Equivalent Ratios Multiplying or dividing both terms of a ratio by the same number does not change the value of the ratio. 8 to 1 Multiply each number by 8 (8 8 64; 1 8 8). 64 to 8 8 to 1 and 64 to 8 are equivalent ratios. Renaming a Ratio in Higher Terms Example: Rename 6 to 3 in higher terms. Multiply each number by 2. 6 to 3 12 to 6 Rename each ratio with the next higher equivalent ratio. Do not reduce your answer. a. 20 to 10 b. 9 to 5 c. 3 to 2 d. 15 to 10 e. 8 to 6 f. 50 to 4 g. 35 to 11 h. 10 to 3 Renaming a Ratio in Lowest Terms Example: Rename 72 to 9 in lowest terms. Divide each number by to 9 8 to 1 a. 15 to 5 b. 18 to 10 c. 16 to 4 d. 36 to 18 e. 100 to 30 f. 42 to 6 g. 150 to 50 h. 48 to 16 ISBN , pages

5 Rates The rate of the price of gold may be 28 5 dollars. Other rates are miles per hour and feet per second. 1 ounce Rates can be written in two ways: $ 285 Using a fraction bar: 1 ounce Using words: per 285 dollars per ounce Write the following rates using the word per. $ 4.00 a. 12 bagels b. 5 miles hour 16 feet c. m inute Write the following rates using a fraction bar. a. 75 miles per hour b. $3.00 per 2 pounds of tomatoes c. 56 houses per 2 city blocks Reducing Rates to Lowest Terms $ 4.80 Example: Divide by 12. $ donuts donut Reduce these rates to lowest terms. a. 8 0 miles 2 hours 14 cars b. 7 h ouseholds c. $39.00 per 3 CDs d. 100 feet per 10 seconds ISBN , pages

6 Units of Measure Money 3 quarters Example: 7 5 cents 3 to 1 2 di mes, 1 nickel 25 cents Find the ratio of the following and reduce to lowest terms. a. 2 h alf dollars 1 quarter 6 dimes b. 2 nickels 4 dollars c. 2 quarters 5 nickels d. 1 dim e, 5 pennies e. 4 dim es, 1 nickel 3 nickels 5 quarters f. 3 dim es, 2 nickels Time 2 hours Example: 2 60 m 20 minutes 20 mi inutes nutes 1 20 minutes 2 6 to 1 0 minutes 12 days a. 6 weeks b. 4 weeks 10 days 6 years c. 9 months 12 hours d minutes 6 days e. 3 weeks 6 minutes f. 4 0 seconds ISBN , pages

7 Ratios and Fractions Expressing Fractions as Whole Number Ratios You can rewrite the ratio 1 2 to 2 with whole numbers by finding the least 3 common multiple (LCM) of the denominator. The LCM of 2 and 3 is The ratio to 2 is 3 to 4. 3 Write these fraction ratios as whole number ratios. a. 3 4 to 1 3 b. 5 6 to 3 8 c. 2 3 to 1 5 d. 3 4 to 1 2 e. 1 4 to 1 6 Expressing Mixed Numbers as Whole Number Ratios Example: to Change the mixed numbers to improper fractions. 9 8 to Then continue as you did above. The ratio 9 8 to 1 1 changes to 9 to Write these mixed number ratios as whole number ratios. a to b to c to d to e to ISBN , pages

8 Ratios and Decimals Expressing Decimals as Whole Number Ratios Example: 1. Write 5.2 to 2.6 as a ratio of whole numbers one decimal place, so multiply by one decimal place, so multiply by , or 2 to 1 2. Write to as a ratio of whole numbers. (When there is a difference in the decimal places, multiply by the greater number of decimals.) , , or 20 to ,000 Write these decimal ratios as whole number ratios. a b c d e f g h i j ISBN , pages

9 Finding the Better Buy Unit Pricing Example: What is the better buy: 4 Ping-Pong balls for $4.98 or 7 for $8.50? or $ or $1.21 $ $ The better buy is 7 balls for $8.50 because one ball costs $1.21 at that rate. Circle the better buy for each of the following. What is the difference in price for one? Difference in price a. 3 cans of juice for $5.00 or 5 cans of juice for $8.00 b. 10 ounces of popcorn for $2.50 or 35 ounces or popcorn for $8.40 c. 5 notebooks for $6.25 or 9 notebooks for $11.00 d. 4 pounds of candy for $2.24 or 6 pounds of candy for $3.12 e. 5 pounds of bananas for $3.45 or 2 pounds of bananas for $1.30 f. 7 cantaloupes for $9.55 or 12 cantaloupes for $16.30 ISBN , pages

10 Ratio and Proportion A proportion is an equation that shows two ratios. Example: 4 2 and To see if the ratios are equal, multiply the diagonals of the proportion Therefore, Cross multiply to find if these proportions are equal. Place an or sign on the line. a b c d e f g. 1 h i j k l Finding an Unknown Term Example: 8 2 n Cross multiply n n Divide by n n n Solve for the unknown number (n) by cross multiplying. a. 2 3 n 7 n b c. 3 8 n d. n e n 36 n 30 f n g. h n n i j. 3 n 1 5 k n l n 96 ISBN , pages

11 Finding a Number When a Ratio Is Known Example: c hairs 8 desks 3 In a class, the ratio of the number of chairs to the number of desks is 8 to 3. If there are 15 desks in the class, how many chairs are there? c hairs x 8 desks x 3x x 12 0 x There are 40 chairs. Solve the following problems by first setting up the proper ratio and then solving for x, the unknown. 4 a. The ratio of a son s age to his father s age is. If the son is 16 years old, how old is the father? 1 0 b. Joan misspelled 4 words on her test. This was 1 6 of the total words on the test. How many words were on the test? 60 c. Jack earns $12 each day for 3 hours of work. How much does he earn in 15 hours? d. If 6 ounces of oil are mixed with 3 ounces of vinegar, how many ounces of oil will be mixed with 10 ounces of vinegar? e. The cost to enlarge 4 pictures is $4.25. At this rate, how much would enlarging 36 pictures cost? f. The bicycle shop sold 24 bicycles in 10 days. At that rate, how many bicycles will be sold in 15 days? ISBN , pages

12 Scale Drawings Reduction Example: The scale on a map reads 1 inch 8 miles. To the nearest mile, what is the distance between two cities that are 5 inches apart? in che mile s s inches x 1x 40 x 40 miles miles The two cities are 40 miles apart. Find the distance between the following cities. Use the scale 1 inch 8 miles. a. 2 cities 8 inches apart b. 2 cities 3 1 inches apart 2 c. 2 cities 6 3 inches apart 4 Enlargement Example: An illustrator uses a scale of 1 inch in the drawing 1 millimeter (mm). 2 He draws an ant that is 3 inches long. What is the actual length of the ant? i nch mm inch 1 x m es m x 0.5x x 3 x The ant is 6 mm long. Find the size of the following illustration measurements. Use the scale 1 2 inch 1 mm. a. an illustration of a plant that is 6 inches tall b. an illustration of a watch battery that is 2 1 inches wide 2 ISBN , pages

13 Probability (Event) Probability number of ways an event can occur number of all possible outcomes Example: If you flip a penny, what is the probability of getting a tail? number of ways a tail can occur 1 total outcomes (heads + tails) 2 The probability of getting a tail is one in two ( 1 2 ). Find the probability of the following. Reduce the ratio to lowest terms. You are going to roll a cube that has 2 white faces, 1 gray face, and 3 black faces. Find the probability that each color will end up on top. a. white b. gray c. black A jar contains 6 green marbles, 4 striped marbles, and 8 yellow marbles. Without looking, you are going to reach into the jar and choose a marble. Find the probability of selecting each of the following: d. green marble e. striped marble f. yellow marble g. green or striped marble h. green or yellow marble ISBN , pages

14 Percents and Ratios Changing a Ratio to a Percent When the Second Term Is 100 Example: 75 of the 100 books in the library are science books. 75 This can be stated as 75 out of 100, or, or 75% Express each of the following ratios as percents a. b c d e. f Changing a Percent to a Ratio Example: Write 20% as a ratio. This can be done three different ways: 20 20: out of Express each of the following percents as ratios. Use the second way, a fraction, and reduce your answer. g. 27% h. 50% i. 40% j. 30% k. 45% l. 63% m. 75% n. 10% o. 20% p. 16% q. 3% r. 97% ISBN , pages

15 Decimal Equivalents Changing a Percent to a Decimal To change a percent to a decimal, move the decimal point two places to the left and drop the percent sign. Add zeros when necessary. Example: 35% 35.% % 9.% Express the following percents as decimals. a. 18% b. 38% c. 5% d. 11.5% e. 0.7% f % Changing a Decimal or Mixed Decimal to a Percent To change a decimal to a percent, move the decimal point two places to the right and add a percent sign. Example: % % % Express the following decimals or mixed decimals as percents. g h i j k. 0.6 l m n. 7 o. 3.5 p. 4.1 q. 16 r ISBN , pages

16 Fraction Equivalents Changing a Percent to a Fraction 20 2 Example: 20% Express the following percents as fractions. a. 50% b. 75% c. 40% d. 30% e. 60% f. 7% Changing a Fraction Percent to a Decimal Example: 1 2 % 0.5% % Express the following fraction percents as decimals. g. 1 5 % h. 1 8 % i. 3 4 % 9 j. % 1 0 k. 3 5 % l. 1 4 % ISBN , pages

17 Changing a Fraction to a Percent Example: Write 1 4 as a percent. Express the following fractions as percents. a. 4 5 More Fraction Equivalents % 100% Step 1: Step 2: % b c. d e. f Changing an Improper Fraction to a Percent Example: Write 1 1 as a percent. 4 Express the following improper fractions as percents. g. 9 2 Step 1: % 1100% Step 2: 275% h i. j ISBN , pages

18 Mixed Numerals Changing a Mixed Decimal Percent to a Decimal Example: Write 32.5% as a decimal. Move the decimal two places to the left and drop the percent sign. 32.5% Write these mixed decimal percents as decimals. a. 18.2% b % c. 11.9% d. 8.6% e. 33.8% f. 16.3% Changing a Decimal to a Mixed Decimal Percent Example: Write as a percent. Move the decimal two places to the right and add the percent sign % Write these decimals as mixed decimal percents. g h i j k l Changing a Mixed Numeral Percent to a Fraction Example: Write 83 1 % as a fraction. 3 Change the mixed number to an improper fraction and divide by % Write these percents as fractions. Be sure to reduce your answer to lowest terms. m % n % ISBN , pages

19 Finding the Percent of a Number Example: What is 35% of $30? Change the percent to a decimal. Then multiply. 35% So, 35% of $30 is $ $30 $10.50 Example: What is 7 2 % of 300? 3 Change the percent to a mixed number and divide by 100. Then multiply % So, 7 2 of Solve each problem. a. 6% of $42 b % of 96 2 c. 78% of 1,500 d. 8 1 % of e. 62% of 275 f. 7 1 % of g. 50% of 1,000 h. 6 2 % of 75 3 ISBN , pages

20 Applying Percent: Part and Whole Example: What percent of 48 is 36? 1. Divide the part by the whole and reduce to lowest terms Change the fraction to a percent % 75% 1 You can also use ratio and proportion to solve the same problem. 1. Divide the part by the whole and reduce to lowest terms Let x equal the percentage. 3 4 x Cross multiply. 4x Divide by 4. x 75% Use either of the above methods to find percentage. a. 16 is what percent of 80? b. 15 is what percent of 60? 25 c. 8 is what percent of 25? d. 34 is what percent of 102? e. 100 is what percent of 250? f. 30 is what percent of 40? ISBN , pages

21 Finding the Total Number Finding the Whole When the Part and Percent Are Given Example: 450 is 15% of what number? 1. Identify the part Identify the percent and write it as a fraction. 15% Let x equal the whole. Place the part over the whole x Cross multiply. Divide both sides by x x 45,000 x 3,000 So, 450 is 15% of 3,000. Solve each of the following. a. 70 is 50% of what number? b. 120 is 60% of what number? c. 54 is 18% of what number? d. 90 is 40% of what number? e. 8 is 80% of what number? f. 300 is 75% of what number? g. 75 is 150% of what number? h. 15 is 10% of what number? ISBN , pages

22 Percent Increase Percent Increase and Decrease Example: The price of a video game increased from $20 to $25. What percent increase is this? 1. Find the difference between the two prices. $25 $20 $5 $ 5 2. Place the difference ($5) over the original price. 3. Multiply this fraction by 100%. $ 20 $ % 25% $ 20 1 So, the percent increase is 25%. Find the percent increase for the following problems. a. From 50 to 75 b. From 400 to 500 c. From 6 to 10 d. From 20 to 35 e. From 60 to 80 f. From 70 to 140 Percent Decrease Example: What is the percent decrease from 100 to 90? Write the difference over the original number Multiply by 100%. 100% 10% 1 00 Find the percent decrease for the following problems. g. From 150 to 125 h. From 50 to 40 i. From 12 to 9 j. From 30 to 27 ISBN , pages

23 Discount Discount and Sale Price Example: Regular price: $150 Discount rate: 5% What is the discount? 1. Change the discount rate percent to a decimal. 5% Multiply the regular price by the discount rate. $ $7.50 So, the discount is $7.50. Find the discount on the following amounts. a. 10% off $200 b. 6% off $1.50 c. 15% off $5.00 d. 5% off $45 Sale Price Example: Regular price: $55 Discount rate: 20% What is the sale price? 1. Find the discount (as above). $ $11 discount 2. Subtract the discount from the regular price. $55 $11 $44 So, the sale price is $44. Find the sale price of the following. e. 15% off $100 f. 25% off $250 g. 20% off $75 h. 10% off $35 ISBN , pages

24 Percents Larger than 100% Expressing Percents Larger than 100% as Decimals Example: Write 143% as a decimal. Place the decimal point to the right of the ones place. 143.% Divide by 100% (Move decimal point two places to the left and drop % symbol) 1.43 Express these percents as decimals. a. 200% b. 365% c. 121% d. 199% e. 212% f. 152% Expressing Decimals as Percents Example: Write 3.62 as a decimal. Multiply the decimal by 100% by moving the decimal point two places to the right. Add the percent (%) symbol % Express these decimals as percents. g h i j Expressing Percents Larger than 100% as Fractions Example: Write 150% as a fraction. Divide by 100%. 1 50% % 10 2 Express these percents as fractions. k. 250% l. 125% m. 420% n. 140% o. 350% p. 550% ISBN , pages

25 Commission and Income Commission Example: With a rate of commission of 5% and total sales of $148, how much commission would you earn? 1. Change the commission rate to a decimal. 5% Multiply the commission rate by the total sales $148 $7.40 So, you would earn a commission of $7.40. Find the amount of commission for the following. a. 6% on $200 of sales b. 15% on $500 of sales c. 5% on $268 of sales d. 12% on $440 of sales Income Gross income is the total amount earned before deductions (taxes). Net income is the amount left after deductions. Example: What is the net income on $500 if 6% was taken out for taxes? 1. Change the percent to a decimal. Multiply. $ $30 2. Find the difference between the gross income and deductions. $500 $30 $470. So, net income is $470. Find the net income for the following. e. Gross: $650; deduction 8% f. Gross: $400; deduction 5% g. Gross: $1,000; deduction 10% h. Gross: $325; deduction 3% ISBN , pages

26 Simple Interest The equation for simple interest is I PRT P Principal (money placed in bank) R Rate of interest T Time (in years) Example: Find the simple interest on $700 for 2 years at 8% interest rate. Interest $700 8% 2 years Change the percent to a decimal. 8% 0.08 Interest $ $ Find the simple interest on the following principals. a. $800 for 3 years at 5% b. $900 for 2 years at 8% There are different terms used for time when finding interest. Annually means every 1 year. 6 Semiannually means every 6 months 0.5 year Quarterly means every 3 months 0.25 year Monthly means every 1 month year Daily means every 1 day year Example: Find the semiannual interest on $800 at 9%. Interest P R T $ year $36.00 Find the simple interest on the following principals. c. $120, semiannually at 4% d. $400, quarterly at 8% e. $840, annually at 10% f. $1,000, quarterly at 5% ISBN , pages

27 Compound Interest Example: Find the compound interest earned on $900 invested for 1 year at 7%, compounded twice a year (semiannually). I PRT Interest $900 7% 6 months Interest $ $31.50 $31.50 is the interest for first 6 months. Add the interest from the first 6 months to the principal. $900 $31.50 $ $ is the new principal. Find the interest for the next 6 months using the new principal. I PRT Interest $ $ , rounded to $32.60 Add the two interests. $31.50 $32.60 $64.10 Compound interest after one year is $ Find the compound interest after one year on the following principals. a. $200 at 5% compounded semiannually b. $650 at 4% compounded quarterly c. $500 at 6% compounded semiannually d. $800 at 8% compounded quarterly e. $1,000 at 7% compounded semiannually ISBN , pages

28 Percents and Ratios Answers Reducing Ratios, page 2 a. 9 to 1, 9 1, 9:1; b. 2 to 1, 2 1, 2:1; c. 2 to 5, 2 5, 2:5; d. 20 to 3, 2 0, 20:3; e. 8 to 1, 8 3 1, 8:1; f. 16 to 5, 1 6, 16:5; g. 3 to 1, 3 5 1, 3:1; h. 5 to 3, 5 3, 5:3; i. 4 to 1, 4, 4:1; j. 5 to 1, 1 5 1, 5:1; k. 3 to 1, 3, 3:1 1 Ratios and Percents, page 3 first term less than 100: a. 3 to 5; b. 3 to 4; c. 3 to 10; d. 1 to 4; e. 17 to 20; f. 2 to 5 first term greater than 100: a. 11 to 2; b. 6 to 1; c. 3 to 2; d. 21 to 20; e. 5 to 4; f. 7 to 4; g. 2 to 1; h. 9 to 1; i. 17 to 2 Equivalent Ratios, page 4 higher terms: a. 40 to 20; b. 18 to 10; c. 6 to 4; d. 30 to 20; e. 16 to 12; f. 100 to 8; g. 70 to 22; h. 20 to 6 lowest terms: a. 3 to 1; b. 9 to 5; c. 4 to 1; d. 2 to 1; e. 10 to 3; f. 7 to 1; g. 3 to 1; h. 3 to 1 Rates, page 5 writing rates as fractions: a. $4.00 per 12 bagels; b. 5 miles per hour; c. 16 feet per minute writing rates using words: a. 75 miles $ houses ; b. ; c. hour 2 pounds of tomatoes 2 city blocks reducing rates to lowest terms: a. 40 miles 2 cars ; b. ; c. $13.00 per CD; d. 10 feet per second hour ho usehold Units of Measure, page 6 money: a. 4 to 1; b. 6 to 1; c. 8 to 1; d. 5 to 3; e. 3 to 1; f. 25 to 8 time: a. 2 to 7; b. 14 to 5; c. 8 to 1; d. 4 to 1; e. 2 to 7; f. 9 to 1 Ratios and Fractions, page 7 fractions: a. 9 to 4; b. 20 to 9; c. 10 to 3; d. 3 to 2; e. 3 to 2 mixed numbers: a. 9 to 16; b. 27 to 22; c. 33 to 40; d. 45 to 24; e. 25 to 68 Ratios and Decimals, page 8 a. 3 to 2; b. 2 to 1; c. 4 to 1; d. 3 to 200; e. 5 to 1; f. 20 to 1; g. 2 to 1; h. 65 to 4; i. 5 to 1; j. 80 to 1 Unit Pricing, page 9 a. 5 cans of juice for $8.00; b. 35 ounces of popcorn for $8.40; c. 9 notebooks for $11.00; d. 6 pounds of candy for $3.12; e. 2 pounds of bananas for $1.30; f. 12 cantaloupes for $

29 Ratio and Proportion, page 10 cross multiply: a. ; b. ; c. ; d. ; e. ; f. ; g. ; h. ; i. ; j. ; k. ; l. finding unknown term: a. 12; b. 70; c. 24; d. 4; e. 16; f. 3; g. 21; h. 27; i. 8; j. 10; k. 16; l. 12 Finding a Number When a Ratio Is Known, page 11 a. 40 years; b. 15 words; c. $60; d. 20 ounces; e. $38.25; f. 36 bikes Scale Drawings, page 12 reduction: a. 64 miles; b. 28 miles; c. 54 miles enlargement: a. 12 mm; b. 5 mm Probability, page 13 a. 1 in 3; b. 1 in 6; c. 1 in 2; d. 1 in 3; e. 2 in 9; f. 4 in 9; g. 5 in 9; h. 7 in 9 Percents and Ratios, page a. 71%; b. 16%; c. 1%; d. 99%; e. 50%; f. 45%; g. ; h ; i. 2 5 ; j. 3 9 ; k. ; l. ; m ; n. 1 ; o ; p. 4 3 ; q ; r Decimal Equivalents, page 15 a. 0.18; b. 0.38; c. 0.05; d ; e ; f ; g. 25%; h. 7.6%; i. 5%; j. 0.3%; k. 60%; l %; m. 103%; n. 700%; o. 350%; p. 410%; q. 1,600%; r. 199% Fraction Equivalents, page 16 a. 1 2 ; b. 3 4 ; c. 2 5 ; d. 3 ; e ; f. 7 ; g ; h ; i ; j ; k ; 100 l More Fraction Equivalents, page 17 a. 80%; b. 30%; c. 12%; d. 56%; e. 12%; f. 70%; g. 450%; h. 400%; i. 110%; j. 145% Mixed Numerals, page 18 a ; b ; c ; d ; e ; f ; g. 12.6%; h. 75.1%; i. 62.7%; j. 98.1%; k. 43.7%; l. 85.5%; m. 7 8 ; n. 5 8 Finding the Percent of a Number, page 19 a. $2.52; b. 12; c. 1,170; d. 50; e ; f. 30; g. 500; h. 5 Applying Percent: Part and Whole, page 20 a. 20%; b. 25%; c. 32%; d %; e. 40%; f. 75% 3 Finding the Total Number, page 21 a. 140; b. 200; c. 300; d. 225; e. 10; f. 400; g. 50; h

30 Percent Increase and Decrease, page 22 a. 50%; b. 25%; c %; d. 75%; e %; f. 100%; g %; h. 20%; 3 i. 25%; j. 10% Discount and Sale Price, page 23 a. $20; b. $0.09; c. $0.75; d. $2.25; e. $85; f. $187.50; g. $60; h. $31.50 Percents Larger than 100%, page 24 a. 2; b. 3.65; c. 1.21; d. 1.99; e. 2.12; f. 1.52; g. 125%; h. 452%; i. 229%; j. 801%; k. 5 2 ; l. 5 4 ; m. 2 1 ; n ; o. 7 2 ; p Commission and Income, page 25 a. $12; b. $75; c. $13.40; d. $52.80; e. $598; f. $380; g. $900; h. $ Simple Interest, page 26 a. $120; b. $144; c. $2.40; d. $8.00; e. $84; f. $12.50 Compound Interest, page 27 a. $10.13; b. $26.40; c. $30.45; d. $65.95; e. $

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