Simplifying
Unit
Equivalent
Solving ratio problems
CHALLENGE
100

Simplify the ratio 10:15.

2:3

100

Convert the ratio 3:12 to a unit ratio.

1:4

100

Find an equivalent ratio of 4:5 when it is 12:

12:15

100

If the ratio of dogs to cats is 3:2 and there are 12 cats, how many dogs are there?

18

200

What is the simplest form of the ratio 24:36?

2:3

200

What is the unit ratio for 25 meters in 100 seconds?

1:4

200

Find an equivalent ratio of 7:9 when the second term is :36 

28:36

200

A recipe uses water and flour in the ratio 2:5. If you have 10 cups of flour, how many cups of water do you need?

4 cups

300

Simplify the ratio 42:49.

6:7

300

If 8 bags of cement cost $120, what is the unit price per bag?

$15

300

Create an equivalent ratio of 3:4 with the first term as 15.

15:20

300

 In a classroom, the ratio of boys to girls is 4:3. If there are 21 girls, how many boys are there?

28 boys

400

Simplify the ratio 56:72 

7:9

400

Convert the ratio 60 kilometers to 3 hours into a unit rate.

20:1

400

Find an equivalent ratio to 16:24 with the second term as 48.

32:48

400

 The ratio of blue to red marbles is 5:1. If there are 30 more blue marbles than red marbles, how many red marbles are there?

6 red marbles

400

A drink recipe calls for a mix of fruit juice and soda in the ratio 3:5. If you have already poured 9 cups of fruit juice, how much soda do you need to maintain the correct ratio?

15 cups of soda

500

Simplify the ratio 81:108

3:4

500

If you can type 450 words in 15 minutes, what is your typing speed in words per minute?

30 words per min

500

Determine an equivalent ratio for 9:11 when the sum of terms is 100.

45:55

500

A mixture requires chemicals in the ratio 5:3:2. If you have 40 grams of the first chemical, how many grams of the other two chemicals do you need?

24 grams of the second and 16 grams of the third

500

In a storage room, the ratio of boxes of pens to boxes of pencils is 4:7. If the difference in the number of boxes is 9, how many boxes of each type are there?

12 boxes of pens, 21 boxes of pencils

M
e
n
u