Solving Problems Using Ratio and Rates

A method for solving ratio problems that uses bars to represent the ratio numbers.

• ratio table

• tape diagram

• unit analysis

• equivalent ratios

In a __________, the columns are filled with pairs of numbers that have the same ratio.

• Unit rate

• Ratio

• Equivalent ratios

• Ratio table

The rate for ONE unit of a given quantity is called a(n) _________. For example, 62 beats per minute

• Unit rate

• Ratio

• Scaling

• Ratio table

Multiplying or dividing two related quantities by the same number allows you to find ___________.

• Ratios

• Tape diagrams

• Equivalent ratios

• Ratio tables

If the ratio of cats to dogs in a pet store is 3:4, and there are 12 cats, how many dogs are there?

• 16

• 15

• 14

• 13

Two quantities are in the ratio 7:3. If the sum of the quantities is 100, what is the larger quantity?

• 70

• 75

• 30

• 25

A school's student to teacher ratio is 20:1. If there are 400 students, how many teachers are there?

• 20

• 25

• 15

• 10

Brian hiked 6 miles in 2 hours. At this same rate, what is the total number of miles Brian could hike in 9 hours?

• 27 miles

• 9 miles

• 3 miles

• 24 miles

In a survey, the ratio of people who prefer tea to those who prefer coffee is 4:5. If 180 people were surveyed, how many prefer tea?

• 80

• 72

• 90

• 100

3 workers build a wall in 12 hours. How long would it have taken for 6 equally productive workers?

• 6

• 12

• 36

• 48