Day 140 Ratios and Proportions

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.

Front

What is a proportion?

Back

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

Front

How do you solve a ratio problem?

Back

To solve a ratio problem, you can set up a proportion and cross-multiply to find the unknown value.

Front

If Diego rode 147 miles in 21 hours, what is his rate in miles per hour?

Back

His rate is 7 miles per hour (147 miles ÷ 21 hours).

Front

How many miles would Diego ride in 7 hours at the same rate?

Back

He would ride 49 miles (7 miles/hour × 7 hours).

Front

What is the unit rate?

Back

The unit rate is the ratio of two measurements in which the second term is 1.

Front

If a 3 lb. bag of hot pockets costs $9, what is the cost per pound?

Back

The cost per pound is $3 ($9 ÷ 3 lb).

Front

How do you find the cost of a different weight using unit rates?

Back

Multiply the unit rate by the new weight to find the total cost.

Front

If Keara buys a 4 lb. bag of hot pockets at the same rate as a 3 lb. bag, how much will it cost?

Back

It will cost $12 (4 lb × $3/lb).

Front

What is the formula for finding equivalent ratios?

Back

Two ratios a:b and c:d are equivalent if a/b = c/d.