Ratios and Rates

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:b'.

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 find the unit rate?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if 12 shrubs cost $96, the unit rate is $96 ÷ 12 = $8 per shrub.

Front

What is the unit rate of 13 miles in 2 hours?

Back

The unit rate is 13 miles ÷ 2 hours = 6.5 miles per hour.

Front

How many feet are in 27 yards?

Back

There are 27 yards × 3 feet/yard = 81 feet.

Front

If an airplane travels 289 miles in 2 hours, how far can it travel in 5 hours?

Back

The airplane's speed is 289 miles ÷ 2 hours = 144.5 miles per hour. In 5 hours, it can travel 144.5 miles/hour × 5 hours = 722.5 miles.

Front

What does a ratio of 5:4 mean in a flowerbed?

Back

A ratio of 5:4 means for every 5 petunias, there are 4 daisies.

Front

If the total number of flowers is 180 and the ratio of petunias to daisies is 5:4, how many petunias are there?

Back

Let the parts be 5x and 4x. Then, 5x + 4x = 180. So, 9x = 180, x = 20. Therefore, there are 5x = 100 petunias.

Front

What is the formula to convert yards to feet?

Back

To convert yards to feet, multiply the number of yards by 3 (since 1 yard = 3 feet).

Front

How do you express a unit rate in a different form?

Back

A unit rate can be expressed as a fraction, such as 8:1 can also be written as 8/1.