SOLUTION: A merchant bought chairs at $24 a dozen. In selling them he received as much for 2 chairs as he had paid for 3 chairs. How much did he charge for 12 chairs?

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Question 1057356: A merchant bought chairs at $24 a dozen. In selling them he received as much for 2 chairs as he had paid for 3 chairs. How much did he charge for 12 chairs?
Found 2 solutions by josmiceli, stanbon:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The rate at which the merchant bought
chairs was +24%2F12+ dollars/chairs
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How much did he pay for +3+ chairs?
+%28%28+24%2F4%29%29+%2F+%28%28+12%2F4+%29%29+=+6%2F3+ dollars/chairs
So, he sold at a rate of +6%2F2+ dollars/chairs
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His rate for +12+ chairs is:
+%28+6%2A6+%29+%2F+%28+6%2A2+%29+=+36%2F12+ dollars/chairs
He charged $36 for 12 chairs
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Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A merchant bought chairs at $24 a dozen.
Note:: $2 perchair
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In selling them he received as much for 2 chairs as he had paid for 3 chairs. How much did he charge for 12 chairs?
Note:: He paid $6 for 3 chairs.
Note:: He received $6 for each pair of 6 pairs or chairs
Ans: He charged $36 for the 12 chairs.
Cheers,
Stan H.
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