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

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 per item.

Front

How do you solve a ratio problem?

Back

To solve a ratio problem, identify the quantities being compared, set up a proportion if necessary, and solve for the unknown.

Front

If a charity buys 2 toys for every $25 raised, how many toys can they buy for $200?

Back

16 toys.

Front

How do you find the total amount from a rate?

Back

Multiply the rate by the time or quantity to find the total amount.

Front

A hot air balloon ascends 1500 feet every 3 minutes. How high will it be after 25 minutes?

Back

12500 feet.

Front

What is the formula to calculate the number of items cleaned in a given time?

Back

Number of items = (Rate of cleaning) x (Time).

Front

A car wash can clean 10 cars every hour. How many cars can be cleaned in 12 hours?

Back

120 cars.

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit, such as 60 miles per hour.

Front

For every 4 dogs in a daycare, there are 3 toys. How many toys are there for 20 dogs?

Back

15 toys.