Practice 4.2 Ratios

A backyard pond has 12 sunfish and 30 rainbow shiners. Write the ratio of sunfish to rainbow shiners in simplest form .

• 12:30

• 2:5

• 18:30

• 3:5

Which sentence accurately represents the following ratio:

• The ratio of moons to suns is 4 to 8

• There are 4 moons for every 8 suns

• There are 4 moons for every 2 suns

• The ratio of suns to moons is 2:1

What is a Ratio?

• Is a comparison of two quantities

• To multiply two fractions

• Strictly a fraction

• Two decimals that can be multiplied

In the fruit bowl there are 4 apples, 2 bananas, and 5 pears.  What is the ratio of pears to ALL fruit?

• 5:4

• 5:11

• 2:5

• 6:5

Hanna is recovering hundreds of treasure chests from an ancient shipwreck. She is able to recover 8 chests every 4 hours.

Complete the table using equivalent ratios. Select all the answers that will fill the table.

• 8

• 5

• 2

• 12

• 6

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

• 9

• 16

• 8

• 10

Answer explanation

To find the number of cats, use the ratio 3:4. Since there are 12 dogs, divide 12 by the 4 in the ratio, since that is the number that represents dogs. When you divide 12 by 4, you get 3, telling you to multiply the 3 in the ratio, representing the cats, by 3. Therefore, there are 9 cats.

• The amount of blue is 2/3 the amount of red paint?

  There are 5 parts of total paint mixture for every 2 parts blue paint

• There are 2 parts blue paint for every 5 parts red paint

  The amount of the total pain mixture is 3/2 the amount of the blue paint

If the ratio of boys to girls in a class is 5:6 and there are 30 girls, how many boys are there?

• 25

• 20

• 24

• 28

What is a Ratio?

• Is a comparison of two quantities 

• A rate with a denominator of one

• It is when the only factor the numerator and denominator share is a one 

• Two decimals that can be multiplied

If the ratio of cats to dogs is 3:4, how many cats are there if there are 20 dogs?

• 15 cats

• 25 cats

• 30 cats

• 10 cats