Ratios and Ratio Tables

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.

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How do you write a ratio?

Back

Ratios can be written in three ways: using the word 'to' (e.g., 3 to 4), using a colon (e.g., 3:4), or as a fraction (e.g., 3/4).

Front

What is a ratio table?

Back

A ratio table is a table that shows the relationship between two quantities and lists pairs of numbers that maintain the same ratio.

Front

If the ratio of boys to girls is 2:3, how many girls are there if there are 10 boys?

Back

If the ratio is 2:3, then for every 2 boys, there are 3 girls. If there are 10 boys, there are 15 girls.

Front

What is the ratio of red toy cars to all toy cars if there are 3 red, 2 black, and 5 white toy cars?

Back

The total number of toy cars is 10 (3 red + 2 black + 5 white). The ratio of red toy cars to all toy cars is 3:10.

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How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD). For example, the ratio 8:12 can be simplified to 2:3.

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What is the missing number in the ratio 4:x = 2:3?

Back

To find x, cross-multiply: 4 * 3 = 2 * x, so x = 6.

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If 5 movie tickets cost $45, what is the cost of 1 ticket?

Back

The cost of 1 ticket is $9 ($45 ÷ 5).

Front

What is the ratio of green marbles to red marbles if there are 9 green and 3 red marbles?

Back

The ratio of green marbles to red marbles is 9:3, which simplifies to 3:1.

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How do you find equivalent ratios?

Back

To find equivalent ratios, multiply or divide both terms of the ratio by the same non-zero number.