Proportions: Word Problems

Front

What is a proportion?

Back

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

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the two ratios and set the products equal to each other.

Front

If 3 eggs make 24 muffins, how many eggs are needed for 144 muffins?

Back

18 eggs.

Front

What is the ratio of boys to girls if there are 5 boys for every 4 girls?

Back

The ratio is 5:4.

Front

If there are 556 girls in a school with a boy-to-girl ratio of 5:4, how many boys are there?

Back

695 boys.

Front

What is the formula to find the missing value in a proportion?

Back

If a/b = c/d, then ad = bc.

Front

If Shawnee School has 336 students for every 12 teachers, how many teachers are there for 1,176 students?

Back

392 teachers.

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities.

Front

If x/3 = 12/36, what is the value of x?

Back

x = 4.

Front

How can you check if two ratios are equivalent?

Back

You can cross-multiply and see if the products are equal.