SOL 6.1 Problem Solving with Ratios

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What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another. It can be expressed in different forms such as fractions, decimals, or with a colon (e.g., 3:4).

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How do you simplify a ratio?

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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 by dividing both terms by 4.

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What is the ratio of white cars to blue cars if there are 40 white cars and 30 blue cars?

Back

The ratio of white cars to blue cars is 4:3, simplified from 40:30.

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If there are 21 DVD discs and 33 Blu-ray discs, what is the ratio of Blu-ray discs to DVD discs?

Back

The ratio of Blu-ray discs to DVD discs is 33:21, which simplifies to 11:7.

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What is the ratio of students who bought regular milk to those who bought chocolate milk if 50 bought regular and 100 bought chocolate?

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The ratio is 50:100, which simplifies to 1:2.

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In a class of 27 students, if there are 21 boys and 6 girls, what is the ratio of girls to boys?

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The ratio of girls to boys is 6:21, which simplifies to 2:7.

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What does a 5 to 7 ratio mean?

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A 5 to 7 ratio means that for every 5 units of one quantity, there are 7 units of another quantity. For example, if Sam has 5 blue marbles and 7 red marbles, the ratio of blue to red is 5:7.

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How can you express the ratio of 4 apples to 2 oranges?

Back

The ratio can be expressed as 4:2, which simplifies to 2:1.

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If a recipe requires 3 cups of flour for every 2 cups of sugar, what is the ratio of flour to sugar?

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The ratio of flour to sugar is 3:2.

Front

What is the relationship between ratios and fractions?

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