Question

The ratio of the number of adults to the number of children at the resturant is 3:7. Identify the choices below that represent an equivalent ratio. Choices: A: 6:14 B: 8:12 C: 15:35 D: 21:9 E: 30:70

Answer 1

Answer: A: 6:14

C: 15:35

E: 30:70

Step-by-step explanation:

From the question, we are given that the ratio of the number of adults to the number of children at the resturant is 3:7.

The choices below that represent an equivalent ratio goes thus:

A: 6:14

This can be represented as: 6/14. The common factor is 2 and we reduce to lowest term which would be: = 3/7 = 3:7

This is an equivalent ratio.

B: 8:12

This can be represented as: 8/12. The common factor is 4 and we reduce to lowest term which would be: = 2/3 = 2:3

This is not an equivalent ratio.

C: 15:35

This can be represented as: 15/35. The common factor is 5 and we reduce to lowest term which would be: = 3/7 = 3:7

This is an equivalent ratio.

D: 21:9

This can be represented as: 21/9. The common factor is 3 and we reduce to lowest term which would be: = 7/3 = 7:3

This is not an equivalent ratio.

E: 30:70

This can be represented as: 30/70. The common factor is 10 and we reduce to lowest term which would be: = 3/7 = 3:7

This is an equivalent ratio.

The correct options are A, C,and E.