Ratio Word Problems

Front

What is a ratio?

Back

A ratio is a relationship between two quantities, showing how many times one value contains or is contained within the other.

Front

How do you write a ratio?

Back

Ratios can be written in three ways: using a colon (e.g., 4:5), as a fraction (e.g., 4/5), or with the word 'to' (e.g., 4 to 5).

Front

What does it mean if a ratio is simplified?

Back

A simplified ratio means that the numbers in the ratio have been reduced to their smallest whole number form.

Front

If the ratio of boys to girls is 4:5 and there are 20 boys, how many girls are there?

Back

25 girls.

Front

What is a scale in the context of maps?

Back

A scale is a ratio that compares a distance on the map to the actual distance it represents in real life.

Front

If a map scale is 1 inch to 30 miles, how far apart are two cities that are 3 inches apart on the map?

Back

90 miles apart.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

If a fruit salad recipe calls for bananas and apples in the ratio 2:3, how many bananas are needed if 10 apples are used?

Back

8 bananas.

Front

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

Back

Add the parts of the ratio together and then multiply by the number of sets.

Front

In a survey, if the ratio of people who prefer tea to coffee is 7:5 and 420 people were surveyed, how many prefer tea?

Back

280 people prefer tea.