Ratio Word Problems Period 1

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

Front

What does a ratio of 4:2 represent?

Back

A ratio of 4:2 means for every 4 units of the first quantity, there are 2 units of the second quantity.

Front

If there are 186 students and the ratio of girls to boys is 4:2, how do you find the number of girls?

Back

First, add the parts of the ratio (4 + 2 = 6). Then, divide the total number of students by the total parts (186 ÷ 6 = 31). Multiply the number of parts for girls by this scale factor (4 × 31 = 124).

Front

What is the scale factor in a ratio problem?

Back

The scale factor is the number you multiply by to find the actual quantities from the ratio.

Front

In a ratio of 2:10, how many parts represent math papers if there are 12 total parts?

Back

In a ratio of 2:10, the total parts are 2 + 10 = 12. Math papers represent 10 parts.

Front

If Mrs. Brown graded 84 papers and the ratio of science to math papers is 2:10, how many science papers did she grade?

Back

First, find the total parts (2 + 10 = 12). The scale factor is 84 ÷ 12 = 7. Multiply the science part by the scale factor (2 × 7 = 14).

Front

What is the ratio of yellow marbles to green marbles if there are 13 green and 7 yellow?

Back

The ratio of yellow marbles to green marbles is 7:13.

Front

How do you find the total number of items in a ratio problem?

Back

Add the parts of the ratio together and multiply by the scale factor.

Front

If 4 boys caught 40 fish and the ratio of catfish to bass is 5:3, how many bass were caught?

Back

First, find the total parts (5 + 3 = 8). The scale factor is 40 ÷ 8 = 5. Multiply the bass part by the scale factor (3 × 5 = 15).