Question

The ratio of adults to children at a family reunion is 16 to 10. If there are 91 people at the family reunion, there are adults and children.

Adults 16 8
Children 10
Total 26 91

Answer 1

56 adults and 35 children

sum the parts of the ratio 16 + 10 = 26

Divide 91 by 26 to find one part of the ratio

= 3.5 ← 1 part of the ratio

16 parts = 16 × 3.5 = 56 ← number of adults

10 parts = 10 × 3.5 = 35 ← number of children

Explanation:

Answer 2

56 adults and 35 children

sum the parts of the ratio 16 + 10 = 26

Divide 91 by 26 to find one part of the ratio

`(91)/(26)` = 3.5 ← 1 part of the ratio

16 parts = 16 × 3.5 = 56 ← number of adults

10 parts = 10 × 3.5 = 35 ← number of children