Equivalent Ratios

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 determine if two ratios are equivalent?

Back

To determine if two ratios are equivalent, you can cross-multiply the terms. If the cross-products are equal, the ratios are equivalent.

Front

What is the ratio of peaches to apples if Betsy has 2 peaches for every 3 apples?

Back

The ratio of peaches to apples is 2:3.

Front

If there are 28 trucks in a parking lot with a truck to car ratio of 7:8, how many cars are there?

Back

There are 32 cars.

Front

What is the relationship between the amounts of chocolate syrup and hot water in Ms. Baker's hot cocoa?

Back

Ms. Baker uses 20 mL of chocolate syrup for every 3 ounces of hot water, creating a ratio of 20:3.

Front

If Mr. Mego uses 45 mL of chocolate syrup for every 6 ounces of hot water, what is the ratio?

Back

The ratio is 45:6, which simplifies to 15:2.

Front

Are the ratios 5:7 and 20:28 equivalent?

Back

Yes, they are equivalent because 5/7 = 20/28.

Front

What is the first step to solve a problem involving equivalent ratios?

Back

Identify the ratios involved and determine if they can be simplified or compared.

Front

If a recipe calls for a ratio of 2 cups of flour to 3 cups of sugar, what is the equivalent ratio for 4 cups of flour?

Back

The equivalent ratio is 6 cups of sugar.

Front

What does it mean if two ratios are not equivalent?

Back

If two ratios are not equivalent, it means they do not represent the same relationship between the two quantities.