Lesson 11

Percentages and Double Number Lines

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Problem 1

Solve each problem. If you get stuck, consider using the double number lines.

  1. During a basketball practice, Mai attempted 40 free throws and was successful on 25% of them. How many successful free throws did she make?

    A double number line.

  2. Yesterday, Priya successfully made 12 free throws. Today, she made 150% as many. How many successful free throws did Priya make today?

    A double number line.

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.

 

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

  1. What is the distance each vehicle traveled in centimeters?

  2. 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:

  1. How many pounds of mashed potatoes can they make with 15 pounds of potatoes?
  2. How many pounds of potatoes are needed to make 50 pounds of mashed potatoes?

Solution

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(From Unit 3, Lesson 7.)