Lesson 12
Percentages and Tape Diagrams
Problem 1
Here is a tape diagram that shows how far two students walked.
![Tape diagrams. Top digram labeled Priya's distance in kilometers, five parts, each labeled 2. Bottom diagram labeled Tyler's distance in kilometers, four parts, each labeled 2.](https://staging-cms-im.s3.amazonaws.com/VfwuMabpcX8gJQZtsspPwkD1?response-content-disposition=inline%3B%20filename%3D%226-6.3.D13.Image.Revision.50.png%22%3B%20filename%2A%3DUTF-8%27%276-6.3.D13.Image.Revision.50.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF37H2AMFB%2F20240703%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240703T075432Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=a6e43ac9b89f6964c7ae086231c7d1b90adf0afc2a0c93cae06daf07c07c1ec0)
- What percentage of Priya’s distance did Tyler walk?
- What percentage of Tyler’s distance did Priya walk?
Solution
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Problem 2
A bakery makes 40 different flavors of muffins. 25% of the flavors have chocolate as one of the ingredients. Draw a tape diagram to show how many flavors have chocolate and how many don’t.
Solution
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Problem 3
There are 70 students in the school band. 40% of them are sixth graders, 20% are seventh graders, and the rest are eighth graders.
- How many band members are sixth graders?
- How many band members are seventh graders?
- What percentage of the band members are eighth graders? Explain your reasoning.
Solution
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Problem 4
Jada has a monthly budget for her cell phone bill. Last month she spent 120% of her budget, and the bill was $60. What is Jada’s monthly budget? Explain or show your reasoning.
Solution
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(From Unit 3, Lesson 11.)Problem 5
Which is a better deal, 5 tickets for $12.50 or 8 tickets for $20.16? Explain your reasoning.
Solution
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(From Unit 3, Lesson 9.)Problem 6
An athlete runs 8 miles in 50 minutes on a treadmill. At this rate:
- How long will it take the athlete to run 9 miles?
- How far can the athlete run in 1 hour?
Solution
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(From Unit 3, Lesson 8.)