Question

Which pair of ratios form a proportion? 97 points

5 : 10 and 10 : 15

8 : 12 and 18 : 27

9 : 15 and 24 : 30

6 : 20 and 7 : 30

Answer 1

B. 8 : 12 and 18 : 27

Explanation:

8 : 12

Reduces to

2 : 3

18 : 27

Reduces to

2 : 3

Same simplified ratio, hence proportional

Answer 2

8 : 12 and 18 : 27

Explanation:

5 : 10 and 10 : 15

Divide each by 5

1:2 and 2:3 The ratios are not the same

8 : 12 and 18 : 27

Divide the first by 4 and the second by 9

2:3 and 2:3 This is a proportion

9 : 15 and 24 : 30

Divide the first by 3 and the second by 6

3:5 and 4:5 The ratios are not the same

6 : 20 and 7 : 30

Divide the first by 2 and leave the second alone

2:10 and 7: 30 The ratios are not the same