lazarogb wrote:

A certain cake has two layers with pieces of fruit on top of each layer. Of all the pieces of fruit on the cake, 25 percent are strawberies. How many pieces of fruit are on the first layer of the cake?

1) Of the pieces of fruit on the first layer, 6 are strawberries.

2) 20 percent of the 20 pieces of fruit on the second layer are strawberries.

The explanation from the gmat prep is a bit confusing, can anyone make a more direct user-friendly solution??

Consider 1)

It is given that 6 are strawberries. We have no idea about the number of other pieces of fruit on the first layer.

Thus, eliminate choices A and D.

Consider 2)

No information is given about the number of pieces of fruit in the first layer.

Thus, eliminate B.

Consider both 1) and 2)

First layer=6 strawberries

Second layer=20% of 20 pieces of fruit are strawberries => 4 strawberry pieces

=> (6 + 4) strawberries totals to 25% as given in the question.

Using this, we can find out the number of pieces of the other fruit.

=> If 25%=10 pieces, 75%=30 pieces

Hence, we can find the solution. The answer is C.

You actually do not need to calculate so much and find the exact number. The moment we arrive at 25%=10 strawberry pieces, we should choose C and move on.

Hope this helps!

_________________

TH

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