Ratio and Rate Problems

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another, often expressed as 'a to b' or a:b.

Front

How do you solve a ratio problem?

Back

To solve a ratio problem, set up a proportion based on the given ratios and use cross-multiplication to find the unknown quantity.

Front

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

Back

The ratio of flour to sugar is 2:3.

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as speed (miles per hour) or price (cost per item).

Front

How do you convert a ratio to a fraction?

Back

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

Front

If there are 12 apples and 8 oranges, what is the ratio of apples to oranges?

Back

The ratio of apples to oranges is 12:8, which simplifies to 3:2.

Front

What is the unit rate?

Back

The unit rate is a rate in which the second quantity is 1, showing how much of the first quantity corresponds to one unit of the second quantity.

Front

If a car travels 150 miles in 3 hours, what is the speed in miles per hour?

Back

The speed is 50 miles per hour (150 miles ÷ 3 hours).

Front

How do you find the total quantity from a ratio?

Back

To find the total quantity from a ratio, add the parts of the ratio together and then use the ratio to find the individual quantities.

Front

If a gardener plants 5 flowers for every 2 bushes, how many flowers are planted if 10 bushes are planted?

Back

If 10 bushes are planted, then 25 flowers are planted (5 flowers/2 bushes = x flowers/10 bushes).