Ratio Word Problems

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 of the ratio by their greatest common divisor (GCD).

Front

What does it mean to solve a ratio word problem?

Back

Solving a ratio word problem involves translating a real-world situation into a mathematical ratio and finding the unknown quantity.

Front

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

Back

There are 15 oranges. (10 apples / 2 = 5; 5 * 3 = 15 oranges)

Front

What is the first step in solving a ratio word problem?

Back

The first step is to identify the quantities involved and the ratio that relates them.

Front

If a recipe calls for a ratio of 4:1 for flour to sugar, how much sugar is needed for 8 cups of flour?

Back

2 cups of sugar are needed. (8 cups flour / 4 = 2 cups sugar)

Front

What is a part-to-part ratio?

Back

A part-to-part ratio compares different parts of a whole, such as the ratio of boys to girls in a class.

Front

What is a part-to-whole ratio?

Back

A part-to-whole ratio compares a part of a quantity to the entire quantity, such as the ratio of boys to the total number of students.

Front

How can you express a ratio as a fraction?

Back

A ratio can be expressed as a fraction by placing the first quantity over the second quantity.

Front

If the ratio of cats to dogs is 3:5 and there are 15 cats, how many dogs are there?

Back

There are 25 dogs. (15 cats / 3 = 5; 5 * 5 = 25 dogs)