Solving Percent Problems with a Double Number Line

Transcription

1 Name: HR: Date: Solving Percent Problems with a Double Number Line 1.) Alexis bought a CD player. She does not remember the price, but she does know that the 6% sales tax came to $4.80. What was the price of the CD player? Bill: + Tax: 2.) Customers left Jill $2.50 as a tip. The tip was 20% of the total. How much was the bill? Bill: + Tip: Skill Practice 3.) What is 75% of 80? 4.) 22 is what percent of 220? 5.) 14 is 20% of what total amount?

2 Name: HR: Date: CHALLENGE! Application Practice 1.) West Middle School has 600 students. South Middle School has 450 students. A survey found that 300 West students watch more than 1 hour of TV each night. 270 South students watch more than 1 hour of TV per night. a. What percentage of West students watch more than 1 hour of TV each night? b. What percentage of South students watch more than 1 hour of TV each night? c. Which school has a greater percentage of students who watch more than 1 hour of TV per night? West has 275 girls and South has 250 girls. d. Which school has a greater percentage of girls? Explain how you know. At each school, 75% of the students play a musical instrument. e. About how many students at West play an instrument? f. About how many students at South play an instrument?

3 2.) The 6 th and 7 th grade students at Meredith Middle School are raising money by selling Red Sox raffle tickets. The 7 th grade had 300 raffle tickets to sell and the 6 th grade had 250 raffle tickets to sell. At the end of the first week, each grade had sold 40% of its goal. a. How many tickets did the 6 th grade sell? b. How many tickets did the 7 th grade sell? At the end of the fundraiser the 6 th grade had sold 200 raffle tickets. The 7 th grade had sold 225. c. What percent of their goal did the 6 th grade reach? d. What percent of their goal did the 7 th grade reach? 3.) Jose started a small business In the first year, he spent $12,000 on advertising In the second year, he spent 40% more for advertising than he spent in the first year. What was the total amount of money that Jose spent for advertising in the second year? 4.) Andrew wanted to save $150 from his summer job last year. In the first week Andrew earned 50% of his goal amount. In the second week he earned 50% of what he had left to earn after the first week. In the third week, Andrew earned 50% of the part of his goal amount that he had left to earn after the second week. a. What was the total amount of money that Andrew earned in the third week? b. What percent of Andrew s original goal amount did he need to earn in the fourth week to meet his goal?

4 Name: HR: Date: Solving Percent Problems with a Double Number Line 1.) Alexis bought a CD player. She does not remember the price, but she does know that the 5% sales tax came to $4.80. What was the price of the CD player? Bill: + Tax: $ ) Customers left Jill $2.50 as a tip. The tip was 20% of the total. How much was the bill? Bill: + Tip: $12.50 Skill Practice 3.) What is 75% of 80? 60 4.) 22 is what percent of 220? 10% 5.) $14 is 20% of what total amount? $70

5 Name: HR: Date: CHALLENGE! Application Practice 1.) West Middle School has 600 students. South Middle School has 450 students. A survey found that 300 West students watch more than 1 hour of TV each night. 270 South students watch more than 1 hour of TV per night. g. What percentage of West students watch more than 1 hour of TV each night? 50% h. What percentage of South students watch more than 1 hour of TV each night? 60% i. Which school has a greater percentage of students who watch more than 1 hour of TV per night? South West has 275 girls and South has 250 girls. j. Which school has a greater percentage of girls? Explain South how you know. West has 600 students, half is is less than half. South has 450 students, half is is more than half. At each school, 75% of the students play a musical instrument. k. About how many students at West play an instrument? 450 l. About how many students at South play an instrument? 335

6 2.) The 6 th and 7 th grade students at Meredith Middle School are raising money by selling Red Sox raffle tickets. The 7 th grade had 300 raffle tickets to sell and the 6 th grade had 250 raffle tickets to sell. At the end of the first week, each grade had sold 40% of its goal. e. How many tickets did the 6 th grade sell? 100 f. How many tickets did the 7 th grade sell? 120 At the end of the fundraiser the 6 th grade had sold 200 raffle tickets. The 7 th grade had sold 225. g. What percent of their goal did the 6 th grade reach? 80% h. What percent of their goal did the 7 th grade reach? 75% 3.) Jose started a small business In the first year, he spent $12,000 on advertising In the second year, he spent 40% more for advertising than he spent in the first year. What was the total amount of money that Jose spent for advertising in the second year? $14,800 4.) Andrew wanted to save $160 from his summer job last year. In the first week Andrew earned 50% of his goal amount. In the second week he earned 50% of what he had left to earn after the first week. In the third week, Andrew earned 50% of the part of his goal amount that he had left to earn after the second week. a. What was the total amount of money that Andrew earned in the third week? $20 b. What percent of Andrew s original goal amount did he need to earn in the fourth week to meet his goal? 12.5%

7 Name: HR: Date: Ratio Percent Homework 1.) There are 75 teachers at the Mario Umana Academy in East Boston. 15 of them teach mathematics. What percent of the teachers at the Umana teach mathematics? Your friend Telly was absent from school the day your teacher taught you how to use double number lines to solve percent problems. Now he s really confused! Help Telly understand how to solve the problem. In the first step for the problem above you write in 75 above the 100%. Explain to Telly why you do that: Then you put 15 above 20%. Explain to Telly how to find out that 15 belongs in that box. What is the answer to the problem? How do you know that? 2.) There were 35 questions on Chad s last mathematics test. He answered 7 of the 35 questions incorrectly. What is the percent of questions Zach answered correctly on that test?

8 3.) This is the bill that the Janet received after dinner one night. But some soda spilled on the bill. Can you help her to figure out how much she needs to leave on the table? The tax in her state is 5% of the total cost of the meal. Janet would like to leave a 20% tip. Meal Cost $20.40 Tax (5%) Tip (20%) ~~~~~Show Your Work Below~~~~~~~ Total Cost? Use the box at right to show your work for each problem below. Circle the answer. 4.) Acton Middle School has 600 students. A survey found that 480 students would like to hold a school dance. What percentage of students want to have the dance? 5.) Macy s is having a sale on winter boots. All boots are 10% less than the regular price. What is the sale price of a pair of boots with a regular price of $38? 6.) Caroline made 20 out of 80 shots while practicing basketball. What is the percent of shots that Caroline made?

9 Name: HR: Date: Ratio Percent Homework 1.) There are 75 teachers at the Mario Umana Academy in East Boston. 15 of them teach mathematics. What percent of the teachers at the Umana teach mathematics? Your friend Telly was absent from school the day your teacher taught you how to use double number lines to solve percent problems. Now he s really confused! Help Telly understand how to solve the problem. In the first step for the problem above you write in 75 above the 100%. Explain to Telly why you do that: This is the total number of teacher or 100% of the teachers. Then you put 15 above 20%. Explain to Telly how to find out that 15 belongs in that box. Find how many 15s are in 75. There are 5. That means you can count by 15s and you will get 75: 15, 30, 45, 60, 75 so use 5 boxes. Then 100% 5 = 20%. What is the answer to the problem? 20%. How do you know that? There are 5 boxes top and bottom. 15 is the first box. When you put in percents you can see that 20% will also be the first box. They line up. 2.) There were 35 questions on Chad s last mathematics test. He answered 7 of the 35 questions incorrectly. What is the percent of questions Zach answered correctly on that test? 80%

10 3.) This is the bill that the Janet received after dinner one night. But some soda spilled on the bill. Can you help her to figure out how much she needs to leave on the table? The tax in her state is 5% of the total cost of the meal. Janet would like to leave a 20% tip. Meal Cost $20.40 ~~~~~Show Your Work Below~~~~~~~ Tax (5%) Tip (20%) Total Cost? $1.02 $4.08 $25.50 Use the box at right to show your work for each problem below. Circle the answer. 4.) Acton Middle School has 600 students. A survey found that % students would like to hold a school dance. What percentage of students want to have the dance? 5.) Macy s is having a sale on winter boots. All boots are 10% less than the regular price. What is the sale price of a pair of boots with a regular price of $38? $ $3.80 = $ ) Caroline made 20 out of 80 shots while practicing basketball. What is the percent of shots that Caroline made? 25%

11 Name: HR: Date: Solving Percent Problems with a Double Number Line Use this worksheet to fill in along with your teacher s lesson. Mini-Lesson Problems What is the new tool we are learning today? 1.) Carly made 20 out of 80 shots while practicing basketball. What is the percentage of shots that Carly made? 2.) There are 6 candies in a bag that is 30% full. How many candies are in a full bag? 3.) A class conducts a survey of 1,000 students. The survey reveals that 20% of the students speak Spanish. How many students is this?

12 4.) Cheryl had breakfast in the diner and the bill came to $ She would like to leave a 20% tip. How much should she leave altogether? Bill: + Tip: What do you need to remember about problems involving a tip? 5.) Martin wants to purchase a book that costs $12. The sales tax is 5%. If Martin has $13, can he purchase the book? Bill: + Tax: What do you need to remember about problems involving a tax? 6.) Sam got a $12 discount off a $48 purchase. What percent discount did he get? What do you need to remember about problems involving a discount?