Writing and Solving Proportions

Front

What is a proportion?

Back

A proportion is when two ratios are equivalent and show the same value.

Front

If a recipe calls for 1.5 cups of milk for every 3 cups of flour, how much milk is needed for 5 cups of flour?

Back

2.5 cups of milk.

Front

The ratio of boys to girls is 3 to 2. If there are 12 boys, how many girls are there?

Back

8 girls.

Front

If there are 5 ice cream cones for every 3 brownies sold, how many ice cream cones are sold if 24 brownies are sold?

Back

40 ice cream cones.

Front

What is the first step in solving a proportion?

Back

Identify the two ratios that are being compared.

Front

How do you find an unknown in a proportion?

Back

Cross-multiply the ratios and solve for the unknown.

Front

What does it mean to simplify a ratio?

Back

To reduce the ratio to its simplest form by dividing both terms by their greatest common factor.

Front

If the ratio of cats to dogs is 4 to 5 and there are 20 cats, how many dogs are there?

Back

25 dogs.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, and equivalent ratios represent equivalent fractions.

Front

If a car travels 60 miles in 1 hour, how far will it travel in 3 hours?

Back

180 miles.