Question

7. The ratio of strawberries to grapes in the fruit salad is 3:9. The ratios of strawberries to honeydew is 6:14. If there 36 grapes, how peony strawberries. Match the fractions that are equivalent to each other​

Answer 1

12 strawberries

Explanation:

Let

`S = Strawberry`

`G = Grape`

`H = honeydew`

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 ratio to fractions

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

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

Cross Multiply

`S * 3 = 36 * 1`

`3S = 36`

Divide through by 3

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

`S = (36)/(3)`

`S = 12`

The (b) part of the question can not be solved with the given details.

However, some equivalent fractions are:

`(1)/(2) = (2)/(4)` ---- 0.5

`(5)/(15) = (10)/(30)` --- 0.33

`(4)/(7) = (8)/(14)` --- 0.57

To get the equivalent fractions, you have to convert the fractions to decimal and then make comparison.