Ratio Problems

WALT - solve ratio problems using division.

1. A herd of 52 horses has 12 white and some black horses. What is the ratio of white to black horses?

12:52

52 - 12= 40 black horses

40 ÷ 2= 20

12 ÷ 2= 6

20 ÷ 2= 10

6 ÷ 2= 3

3:10

2. A pattern has 5 blue triangles to every 80 yellow triangles. What is the ratio of blue triangles to all triangles?

5 x 16= 80

80 ÷ 16= 5

80 + 5= 85

5:85

3. Noah drew 22 hearts and 76 circles. What is the ratio of circles to all shapes?

22:98

22 ÷ 2= 11

98 ÷ 2= 49

11:49

4. A pattern has 14 blue triangles to every 18 yellow triangle. What is the ratio of yellow triangles to blue triangles?

18:14

18 ÷ 2= 9

14 ÷ 2= 7

9:7

5. A pattern has 6 blue triangles to 42 yellow triangles. What is the ratio of yellow triangles to blue triangles?

42:6

42 ÷ 2= 21

6 ÷ 2= 3

21:3

21 ÷ 3= 7

7:1

6. A group of preschoolers has 63 boys and 27 girls. What is the ratio of boys to all children?

63 + 27= 90

63:90

63 ÷ 3= 21

90 ÷ 3= 30

21:30

21 ÷ 3= 7

30 ÷ 3= 10

7:10