Ratios and Rates

Front

What is a ratio?

Back

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

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

Which of the following is NOT a correct way to write a ratio? X : Y, X and Y, X/Y, X to Y

Back

X and Y is NOT a correct way to write a ratio.

Front

If a car travels 320 miles in 8 hours, how do you find the unit rate?

Back

To find the unit rate, divide the total distance by the total time: 320 miles ÷ 8 hours = 40 miles per hour.

Front

What is the unit rate if a person earns $240 for 6 hours of work?

Back

The unit rate is $240 ÷ 6 hours = $40 per hour.

Front

How do you express the ratio 12:30 in simplest form?

Back

To simplify 12:30, divide both numbers by their greatest common divisor, which is 6. So, 12 ÷ 6 : 30 ÷ 6 = 2:5.

Front

What is the price per ticket if 5 concert tickets cost $200?

Back

To find the price per ticket, divide the total cost by the number of tickets: $200 ÷ 5 tickets = $40 per ticket.

Front

If my aunt paid $124 for 4 tickets, what is the cost of one ticket?

Back

To find the cost of one ticket, divide the total cost by the number of tickets: $124 ÷ 4 = $31 per ticket.

Front

How do you calculate the total cost for 7 tickets if 4 tickets cost $124?

Back

First, find the cost of one ticket: $124 ÷ 4 = $31. Then multiply by 7: $31 × 7 = $217.

Front

What is the simplest form of the ratio 15:45?

Back

The simplest form of 15:45 is 1:3, since both numbers can be divided by 15.