Answer: A: 6:14
C: 15:35
E: 30:70
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.