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

Answer:

12 strawberries

Step-by-step 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

$\frac{S}{36} = \frac{3}{9}$

$\frac{S}{36} = \frac{1}{3}$

Multiply both sides by 36

$36 * \frac{S}{36} = \frac{1}{3} * 36$

$S = \frac{1}{3} * 36$

$S = \frac{36}{3}$

$S = 12$

Hence, there are 12 strawberries