Ratio and Rate Reasoning

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

What is a rate?

Back

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

Front

How do you convert feet to yards?

Back

To convert feet to yards, divide the number of feet by 3, since 1 yard is equal to 3 feet.

Front

If 12 pencils cost $3, what is the cost of 1 pencil?

Back

The cost of 1 pencil is $3 divided by 12, which equals $0.25.

Front

How do you find the average speed of a car?

Back

Average speed is calculated by dividing the total distance traveled by the total time taken.

Front

What is the relationship between cups of pink lemonade and regular lemonade if 14 cups of pink lemonade correspond to 49 cups of regular lemonade?

Back

The ratio of pink lemonade to regular lemonade is 14:49, which simplifies to 2:7.

Front

How many months are in a 15-year home loan?

Back

There are 180 months in a 15-year home loan (15 years x 12 months/year).

Front

If a car travels 104 miles in 4 hours, what is its average speed?

Back

The average speed is 104 miles divided by 4 hours, which equals 26 miles per hour.

Front

What is the formula to calculate a unit rate?

Back

To calculate a unit rate, divide the quantity by the number of units, resulting in a rate per one unit.

Front

If 3 ft equals 1 yard, how many yards are in 12 ft?

Back

12 feet is equal to 4 yards (12 ft ÷ 3 ft/yard).