Proportions Word Problems

Front

What is a proportion?

Back

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

Front

How do you solve a proportion?

Back

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

Front

What is the formula for finding the unit rate?

Back

The unit rate is found by dividing the quantity by the number of units, expressed as 'quantity per unit'.

Front

If 3 scarves take 75 minutes, how long does it take to sew 1 scarf?

Back

It takes 25 minutes to sew 1 scarf.

Front

If Allison can sew 3 scarves in 75 minutes, how many scarves can she sew in 240 minutes?

Back

Allison can sew 9.6 scarves in 240 minutes.

Front

What is the relationship between distance, rate, and time?

Back

The relationship is expressed as Distance = Rate × Time.

Front

If Margo read 42 pages in 2.5 hours, what is her reading rate in pages per hour?

Back

Margo's reading rate is 16.8 pages per hour.

Front

If Pete read 6 fewer pages than Margo in the same time, how many pages did he read?

Back

Pete read 36 pages.

Front

How do you find the time it takes to read a certain number of pages at a given rate?

Back

Time = Number of Pages ÷ Reading Rate.

Front

If Nick walked ¾ of a mile in 12 minutes, what is his walking rate in miles per minute?

Back

Nick's walking rate is 0.0625 miles per minute.