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 proportion?

Back

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

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

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 much would a 4 lb. bag of hot pockets cost at the same rate?

Back

It would cost $12 ($3 per lb × 4 lb).

Front

What is the formula for finding a missing value in a proportion?

Back

The formula is a/b = c/d, where a, b, c, and d are the values in the proportion.

Front

If 16 apples cost $4, how much do 64 apples cost?

Back

64 apples would cost $16 (4 × 4).

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.