Ratio and Proportion Word Problems

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Tags

CCSS.7.RP.A.2A

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and set the products equal to each other.

Tags

CCSS.7.RP.A.2C

Front

If 5 hours cost $53.75, how do you find the cost per hour?

Back

Divide the total cost by the number of hours: $53.75 ÷ 5 = $10.75 per hour.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you find the total cost for a different number of hours using a unit rate?

Back

Multiply the unit rate by the number of hours: Cost = Unit Rate × Number of Hours.

Tags

CCSS.6.RP.A.3B

Front

If 12 pairs of pliers cost $75, how do you find the cost per pair?

Back

Divide the total cost by the number of pairs: $75 ÷ 12 = $6.25 per pair.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you find the cost for a different quantity using the cost per unit?

Back

Multiply the cost per unit by the new quantity: Total Cost = Cost per Unit × New Quantity.

Tags

CCSS.6.RP.A.3B

Front

What is the formula to find gallons of gas needed based on miles traveled?

Back

Gallons needed = (Miles traveled ÷ Miles per gallon).

Tags

CCSS.6.RP.A.3B

Front

If a scale drawing uses a scale of 4 cm:9 ft, how do you find the actual length from the drawing?

Back

Use the ratio: Actual Length = (Length in drawing × Actual Scale) ÷ Drawing Scale.

Tags

CCSS.7.RP.A.2C

Front

What is the relationship between direct variation and proportions?

Back

Direct variation describes a relationship where one variable is a constant multiple of another, which can be expressed as a proportion.

Tags

CCSS.7.RP.A.2D