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A store currently charges the same price for each shirt it sells. If

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A store currently charges the same price for each shirt it sells. If  [#permalink]

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New post 02 Jan 2018, 00:27
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A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

75% (02:22) correct 25% (02:36) wrong based on 18 sessions

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A store currently charges the same price for each shirt it sells. If the current price of each shirt were to be decreased by $2, 10 more shirts could be bought for $315. What is the current price of each shirt?

A. $6
B. $7
C. $9
D. $10
E. $12

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A store currently charges the same price for each shirt it sells. If  [#permalink]

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New post 02 Jan 2018, 06:32
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Bunuel wrote:
A store currently charges the same price for each shirt it sells. If the current price of each shirt were to be decreased by $2, 10 more shirts could be bought for $315. What is the current price of each shirt?

A. $6
B. $7
C. $9
D. $10
E. $12

The figure $315 and the answer choices are a big cue: use divisibility rules.

There cannot be partial shirts. $315 must be divisible by the cost per shirt.

That rules out A, D, and E.

A) $6. $315 must be divisible by 2 and 3. It not divisible by 2, hence not divisible by 6. REJECT

D) $10: $315/$10 = 31.5 shirts. OR: $315 does not end in 0. (Not an even number divisible by 5, not divisible by 2 and 5.) REJECT

E) $12: $315 must be divisible by 6 and 2. From above, $315 is not divisible by 6. REJECT

That leaves B and C.

Try C) $9
$315/$9 = 35 shirts
Price decreases by $2
($9 - $2) = $7
$315/$7 = 45 shirts = 10 more shirts if price is $7

Answer C
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A store currently charges the same price for each shirt it sells. If &nbs [#permalink] 02 Jan 2018, 06:32
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