Question

If 2 pears weigh as much as 3 peaches, and 2 peaches weigh as much as 30 grapes, then how many pears weigh as much as 90 grapes? a.  4 b.  6 c.  8 d.  12 e.  14 f.  16 g.  10​

Answer 1

a. 4

Explanation:

You have weight ratios 2 pairs = 3 peaches, and 2 peaches = 30 grapes, and you want to know the number of pears that weigh as much as 90 grapes.

Ratios

Given pears:peaches = 2:3 and peaches:grapes = 2:30, we can multiply the first ratio by 2 and the second ratio by 3 to get ...

pears:peaches = 4:6 and peaches:grapes = 6:90

Then we have ...

pears:peaches:grapes = 4:6:90

This shows us 4 pears weigh as much as 90 grapes, choice A.

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Additional comment

We could reduce this to 2:3:45, but the ratio as is answers the question directly.

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