The red arrow is used to show equivalent amounts on the centimeter scale and the inches scale.
Use the Double Number Line to Solve Percentage Problems.
If you get stuck, solving the next two problems, consider using the double number line below.
(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?
(2). Yesterday, Priya successfully made 12 free throws. Today, she made 150% as many. How many successful free throws did Priya make today?
(3). 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? You can use the double number line in the applet below.
Application of Double Number Lines to Solve Percentage Problems
(A). Elena biked 8 miles on Saturday. Use the double number line to answer the questions. Be prepared to explain your reasoning.
(1). What is 100% of her Saturday distance?
(2). On Sunday, she biked 75% of her Saturday distance. How far was that?
(3). On Monday, she biked 125% of her Saturday distance. How far was that?
(2). Jada has a new puppy that weighs 9 pounds. The vet says that the puppy is now at about 20% of its adult weight.
What will be the adult weight of the puppy?
(3). Andre also has a puppy that weighs 9 pounds. The vet says that this puppy is now at about 30% of its adult weight.
(1). What will be the adult weight of Andre’s puppy?
(2). What is the same about Jada and Andre’s puppies? What is different?
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.
(1). What is the distance each vehicle traveled in centimeters?
(2). Rank the vehicles in order from fastest to slowest.
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?
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 your reasoning.