Equivalent Ratio Proportions

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different. For example, the ratios 1:2 and 2:4 are equivalent.

Front

How do you find an equivalent ratio?

Back

To find an equivalent ratio, you can multiply or divide both terms of the ratio by the same non-zero number. For example, to find an equivalent ratio of 2:3, you can multiply both terms by 2 to get 4:6.

Front

If there are 5 ice cream cones for every 3 brownies, what is the ratio of ice cream cones to brownies?

Back

The ratio of ice cream cones to brownies is 5:3.

Front

How do you solve a proportion?

Back

To solve a proportion, you can cross-multiply the terms and then solve for the unknown variable. For example, in the proportion a/b = c/d, you can cross-multiply to get ad = bc.

Front

What is the formula for finding a missing value in a proportion?

Back

The formula is: if a/b = c/x, then x = (b * c) / a.

Front

If 24 brownies were sold, how many ice cream cones were sold if the ratio is 5:3?

Back

If 24 brownies were sold, then 40 ice cream cones were sold.

Front

What does it mean to solve for x in a proportion?

Back

Solving for x in a proportion means finding the value of x that makes the two ratios equal.

Front

If a 6-ounce package contains 45 pieces, how many pieces are in a 10-ounce package?

Back

There would be 75 pieces in a 10-ounce package.

Front

What is a proportion?

Back

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

Front

How can you check if two ratios are equivalent?

Back

You can check if two ratios are equivalent by cross-multiplying and seeing if the products are equal.