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A bakery sold exactly 85% of the cupcakes it baked on Tuesday. Which o

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Carcass
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A bakery sold exactly 85% of the cupcakes it baked on Tuesday. Which o [#permalink] New post   21 Feb 2022, 06:20
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A bakery sold exactly 85% of the cupcakes it baked on Tuesday. Which of the following could be the total number of cupcakes baked on Tuesday ?

(A) 150
(B) 145
(C) 140
(D) 130
(E) 110
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C
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Re: A bakery sold exactly 85% of the cupcakes it baked on Tuesday. Which o [#permalink] New post   21 Feb 2022, 06:28
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Carcass wrote:
A bakery sold exactly 85% of the cupcakes it baked on Tuesday. Which of the following could be the total number of cupcakes baked on Tuesday ?

(A) 150
(B) 145
(C) 140
(D) 130
(E) 110

Let x = the total number of cupcakes BAKED on Tuesday

So, we can write: 85% of x = the number of cupcakes SOLD on Tuesday
Since 85% = 85/100 = 17/20, we can also write: 17/20 of x = the number of cupcakes SOLD on Tuesday
In other words: 17x/20 = the number of cupcakes SOLD on Tuesday

Since 17x/20 must be an INTEGER, it must be the case that x is divisible by 20.
Since 140 is the only answer choice that's divisible by 20, the correct answer must be C
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Re: A bakery sold exactly 85% of the cupcakes it baked on Tuesday. Which o [#permalink]
21 Feb 2022, 06:28
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