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

Second one:

8 : 12 and 18 : 27

Explanation:

5 : 10 and 10 : 15

5/10 , 10/15

1/2 , 2/3

Not constant, so not proportional

8 : 12 and 18 : 27

8/12 , 18/27

2/3 , 2/3

Constant, so proportional

9 : 15 and 24 : 30

9/15 , 24/30

3/5 , 4/5

Not constant, so not proportional

6 : 20 and 7 : 30

6/20 , 7/30

3/10 , 7/30

Not constant, so not proportional

Answer 2

8 : 12 and 18 : 27

Explanation:

5:10 and 10:15 simplify to: 1:2 and 2:3

8:12 and 18:27 simplify to: 2:3 and 2:3

9:15 and 24:30 simplify to: 3:5 and 4:5

6:20 and 7:30 simplify to: 3:10 and 7:30

The ONLY pair of equal proportions is the second one (8 : 12 and 18 : 27), making it the right answer