Proportional Reasoning Word Problems

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Proportion word

problems

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MAIN ISSUE: make sure that you put the same

“unit” in the same place for both ratios

A factory can make 20 toasters in a
half-hour (0.5 hrs) How many
toasters can the factory make in 6.5
hours?

Proportion Word Problems

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Step 1: Identify the two things being compared

Word Problems

Multiple Select

What are the two things being compared?

• toasters

• time (hour)

• time (day)

• factories

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Step 2: set up the ratio that you know (all

information is given)

Word Problems

Multiple Choice

Which ratio shows the correct toasters per hour setup for the given information?

• $$\frac{0.5}{20}$$

• $$\frac{0.5}{6.5}$$

• $$\frac{20}{6.5}$$

• $$\frac{20}{0.5}$$

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Step 3: Identify what you are being asked to find.

Word Problems

Multiple Choice

What are you being asked to find?

• number of toasters made

• how long it will take to make the toasters

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Step 4: Identify what information you are give about

the unknown.

Word Problems

Multiple Choice

What does the problem tell us about the unknown number of toasters?

• Making 6.5 toasters

• It will take 0.5 hours

• make 20 toasters

• It will take 6.5 hours

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Step 5: set up and solve the proportion

A factory can make 20 toasters in a
half-hour (0.5 hrs) How many
toasters can the factory make in 6.5
hours?

Proportion Word Problems

Math Response

A factory can make 20 toasters in a
half-hour (0.5 hrs) How many
toasters can the factory make in 6.5
hours?

Type answer here

Correct Answer: 260

Deg^°

Rad

Multiple Select

Danielle used 8 centimeters of tape to wrap 4 presents. How many presents did Danielle wrap if she used 30 centimeters of tape?

WHAT are the 2 things being compared?

• tape
• presents

• time

• money

• Danielle

Multiple Select

Danielle used 8 centimeters of tape to wrap 4 presents. How many presents did Danielle wrap if she used 30 centimeters of tape?

Which two could be an appropriate first ratio?

• $$\frac{8}{4}$$

• $$\frac{8}{30}$$

• $$\frac{4}{30}$$

• $$\frac{4}{8}$$

• $$\frac{30}{8}$$

Multiple Choice

Danielle used 8 centimeters of tape to wrap 4 presents. How many presents did Danielle wrap if she used 30 centimeters of tape?

What are you being asked to find?

• tape

• presents

• time

• money

• Danielle

Multiple Choice

Danielle used 8 centimeters of tape to wrap 4 presents. How many presents did Danielle wrap if she used 30 centimeters of tape?

What information are you given about the unknown?

• 8 cm of tape

• 30 cm of tape

• 4 presents

• Danielle

Multiple Select

Danielle used 8 centimeters of tape to wrap 4 presents. How many presents did Danielle wrap if she used 30 centimeters of tape?

Which two ratios could be used to find p the number of presents?

• $$\frac{8}{4}=\frac{30}{p}$$

• $$\frac{8}{4}=\frac{p}{30}$$

• $$\frac{4}{8}=\frac{30}{p}$$

• $$\frac{4}{8}=\frac{p}{30}$$

• $$\frac{4}{30}=\frac{8}{p}$$

Math Response

Danielle used 8 centimeters of tape to wrap 4 presents. How many presents did Danielle wrap if she used 30 centimeters of tape?

Type answer here

Correct Answer: 15

Deg^°

Rad

Math Response

Harold took a total of 8 quizzes over the course of 2 weeks. How many weeks of school will Harold have to attend this quarter before he will have taken a total of 20 quizzes?

Type answer here

Correct Answer: 5

Deg^°

Rad

Math Response

A car travels 320 miles in 7.5 hours. If the car continues at the same rate, how far will it travel in 12 hours?

Type answer here

Correct Answer: 512

Deg^°

Rad

Math Response

A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Seth made a mistake and used 5 cups of flour. How many cups of milk should he use to keep the proportions correct?

Type answer here

Correct Answer: 2.5

Deg^°

Rad