Ratios and Proportions Unit 9

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Front

What is a proportion?

Back

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

Front

How do you find an equivalent ratio?

Back

To find an equivalent ratio, multiply or divide both terms of the ratio by the same non-zero number.

Front

What is the formula for solving proportions?

Back

The formula for solving proportions is a/b = c/d, where you can cross-multiply to find the unknown.

Front

If a recipe calls for a ratio of 2:3 for sugar to flour, how much sugar is needed for 9 cups of flour?

Back

6 cups of sugar (2/3 of 9).

Front

What is the weight limit of a freight elevator if it can carry 10 drums of solvent weighing 435 pounds each?

Back

The weight limit is 4350 pounds (10 drums x 435 pounds).

Front

If a car dealership has a ratio of 3 Economy cars to 7 Standard cars, how many Standard cars are there if there are 30 Economy cars?

Back

70 Standard cars (30 Economy x 7/3).

Front

How do you convert a ratio into a fraction?

Back

To convert a ratio into a fraction, write the first quantity as the numerator and the second quantity as the denominator.

Front

What is the relationship between ratios and rates?

Back

A rate is a specific type of ratio that compares two quantities with different units, such as miles per hour.

Front

If Justin can type 408 words in 4 minutes, how many words can he type in 1 minute?

Back

102 words per minute (408 words ÷ 4 minutes).