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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​

User Mark Belli
by
6.3k points

1 Answer

4 votes

Answer:

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.

User Ritesh Bhat
by
6.2k points
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