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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