Proportion Word Problems

Front

What is a proportion?

Back

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

Front

How do you set up a proportion?

Back

To set up a proportion, write two ratios as fractions and set them equal to each other.

Front

What is the scale of a map?

Back

The scale of a map shows the relationship between distances on the map and actual distances in the real world.

Front

If a map scale is 1 inch = 10 miles, how do you find the actual distance for 3.5 inches?

Back

Multiply 3.5 inches by 10 miles/inch to get 35 miles.

Front

Why is it important to align matching units in proportions?

Back

Aligning matching units ensures that the ratios being compared are consistent and valid.

Front

If a recipe requires 2 cups of flour for 24 cookies, how do you find the amount for 36 cookies?

Back

Set up a proportion: 2 cups/24 cookies = x cups/36 cookies, solving gives x = 3 cups.

Front

What is the formula to find distance when speed and time are known?

Back

Distance = Speed × Time.

Front

If a car travels 300 miles in 5 hours, what is its speed?

Back

Speed = Distance/Time = 300 miles/5 hours = 60 miles per hour.

Front

How do you find the cost of multiple items using proportions?

Back

Set up a proportion based on the cost of a known quantity to find the cost of the desired quantity.

Front

If 5 books cost $25, what is the cost of 1 book?

Back

Cost of 1 book = Total cost/Number of books = $25/5 = $5.