Question

the ratio of strawberries to grapes in the fruit salad is 3:9. the ratios of strawberries to honey dew is 6:14. if there 36 grapes. how many strawberries?

Answer 1

12 strawberries

Explanation:

Represent strawberry with S, grape with G and honeydew with H

Given

`S : G = 3 : 9`

S : H = 6 : 14

Required

Solve for S when G = 36

To do this, we make use of the first ratio

`S : G = 3 : 9`

Substitute 36 for G

`S : 36 = 3 : 9`

Convert to fractions

`(S)/(36) = (3)/(9)`

`(S)/(36) = (1)/(3)`

Multiply both sides by 36

`36 * (S)/(36) = (1)/(3) * 36`

`S = (1)/(3) * 36`

`S = (36)/(3)`

`S = 12`

Hence, there are 12 strawberries