Lesson 11
Percentages and Double Number Lines
Problem 1
Solve each problem. If you get stuck, consider using the double number lines.
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During a basketball practice, Mai attempted 40 free throws and was successful on 25% of them. How many successful free throws did she make?
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Yesterday, Priya successfully made 12 free throws. Today, she made 150% as many. How many successful free throws did Priya make today?
Solution
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Problem 2
A 16-ounce bottle of orange juice says it contains 200 milligrams of vitamin C, which is 250% of the daily recommended allowance of vitamin C for adults. What is 100% of the daily recommended allowance of vitamin C for adults?
![Double number line, 6 evenly spaced tick marks. Top line, vitamin C, milligrams. Beginning at first tick mark, labels: 0, blank, blank, blank, blank, blank. Bottom line, percent. Scale 0 to 250, by 50’s.](https://cms-im.s3.amazonaws.com/iMvidDzF9SN1eRrDXr8Yf1Qb?response-content-disposition=inline%3B%20filename%3D%226-6.3.D.PP_Image_3.png%22%3B%20filename%2A%3DUTF-8%27%276-6.3.D.PP_Image_3.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240630%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240630T193128Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=d9e9bf80f34cca3da9b3c564dbcd19bfb36a062be9dcb40b9bf4740bee208f62)
Solution
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Problem 3
At a school, 40% of the sixth-grade students said that hip-hop is their favorite kind of music. If 100 sixth-grade students prefer hip hop music, how many sixth-grade students are at the school? Explain or show your reasoning.
Solution
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Problem 4
Diego has a skateboard, scooter, bike, and go-cart. He wants to know which vehicle is the fastest. A friend records how far Diego travels on each vehicle in 5 seconds. For each vehicle, Diego travels as fast as he can along a straight, level path.
vehicle | distance traveled |
---|---|
skateboard | 90 feet |
scooter | 1,020 inches |
bike | 4,800 centimeters |
go-cart | 0.03 kilometers |
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What is the distance each vehicle traveled in centimeters?
- Rank the vehicles in order from fastest to slowest.
Solution
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(From Unit 3, Lesson 9.)Problem 5
It takes 10 pounds of potatoes to make 15 pounds of mashed potatoes. At this rate:
- How many pounds of mashed potatoes can they make with 15 pounds of potatoes?
- How many pounds of potatoes are needed to make 50 pounds of mashed potatoes?
Solution
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(From Unit 3, Lesson 7.)