Story Problems About Ratios

A jar contains 55 marbles, of which 48 are blue, 4 are red, and the rest are green. What is the ratio of green to red marbles?

• 3:4

• 48:55

• 4:48

• 3:48

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

Mary lost 3 out of 5 games. What is the ratio of games Mary lost to the games she won?

• 3/5

• 2/5

• 3/2

• 5/2

Diana uses 30 grams of coffee beans to make 48 fluid ounces of coffee. When guests come, she makes 96 fluid ounces of coffee. How many grams of coffee beans does Diana use when she has visitors?

Mathematical Equivalence

ON

If the ratio of pencils to pens in a box is 7:5, how many pens are there if there are 21 pencils?

• 15

• 18

• 12

• 14

Answer explanation

To find the number of pens, set up fractions as an equality like this: 7/5 =21/x. 7*3 is 21, so multiply the 5 by 3 as well to get the number of pens, 15.

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

If the ratio of red balls to blue balls in a bag is 5:3, how many blue balls are there if there are 20 red balls?

• 12

• 15

• 8

• 10

Answer explanation

If the ratio of red balls to blue balls is 5:3, and there are 20 red balls, set up an equality like this: 5/3 = 20/x. To get from 5 in the left numerator to 20 in the right numerator, multiply 5*4. Since the numerator is multiplied by 4, the denominator would also be multiplied by 4. 3*4 = 12.

What are the three different ways you can write a ratio?

• Fraction, comma, words

• Fraction, colon, words

• Colon, words, pictures

• Picture, fraction, comma

Andrew has 2 cats and 9 fish. He writes the ratio 2:11. What type of ratio did he write?

• Part-to-part

• Unit rate

• Part-to-whole

• Whole-to-part