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# Of all the pies baked in a certain bakery, 1/2 are apple pies, 1/7 are

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Re: Of all the pies baked in a certain bakery, 1/2 are apple pies, 1/7 are [#permalink]
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Hi SajjadAhmad,

This question can be solved in a couple of different ways, including by TESTing THE ANSWERS.

We're given a 'breakdown' of the pies in a bakery:
1/2 are apple
1/7 are cherry
1/4 are pecan
The rest are coconut cream

We're also told that the number of pecan + the number of coconut cream = 40. We're asked for the total number of pies in the bakery.

To start, if you know your fraction-to-decimal conversions, then you know that 1/7 is about 14%, so the apple pies (50%) and cherry pies (about 14%) account for about 64% of the total. Thus, the pecan and coconut cream pies must account for about 36% of the total. So.... 40 is about 36% of the total. If we do some rounding, and estimate that 40 is about 33% (or 1/3) of a number, then we're looking for a total that's pretty close to 120...

Let's TEST Answer E: 112

IF....
Total pies = 112, then...
apple = (1/2)(112) = 56
cherry = (1/7)(112) = 16
pecan = (1/4)(112) = 28
56+16+28 = 100
The remaining 12 are coconut cream

Pecan + coconut cream = 28 + 12 = 40. This is an exact MATCH for what we were told, so this MUST be the answer.

Final Answer:

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Re: Of all the pies baked in a certain bakery, 1/2 are apple pies, 1/7 are [#permalink]
SajjadAhmad wrote:
Of all the pies baked in a certain bakery, 1/2 are apple pies, 1/7 are cherry pies, 1/4 are pecan pies, and the rest are coconut cream pies. If the combined number of pecan pies and coconut cream pies is 40, how many pies total did the bakery bake?

A. 56
B. 84
C. 91
D. 105
E. 112

Let there be 28 pies...

Apple Pies = 14
Cherry Pies = 4
Pecan Pies = 7
Coconut Pies = 3

Given - " If the combined number of pecan pies and coconut cream pies is 40 " ; Required to find " how many pies total did the bakery bake? "

Here, 10 represents 40 , so - 1 represents 4 and 28 represents 28*4 = 112 pies...

Thus, answer must be (E) 112.
Re: Of all the pies baked in a certain bakery, 1/2 are apple pies, 1/7 are [#permalink]
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