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18 votes
A merchant bought several pieces of silk for $70. He sold all but two of them at a profit of $4 per piece. His total profit was $18. How many pieces did he originally purchase?

User Xavier Portebois
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2 Answers

22 votes
22 votes
40-18 is 6 so the answer is I have no clue according to my calculations
User Stricjux
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3.2k points
19 votes
19 votes

A merchant bought several pieces of silk for $70. He sold all but two of them at a profit of $4 per piece. His total profit was $18. How many pieces did he originally purchase?​

Let n be the number of pieces. He sold n - 2 pieces

Let p be the original price. His selling price = p + 4

Then n · p = 70.00

And (n - 2) · (p + 4) = 70.00+18.00 ---> np + 4n - 2p - 8 = 88.00

---> np + 4n - 2p = 96.00

---> 70.00 + 4n - 2p = 96.00

4n - 2p = 26.00

2n - p = 13.00

Trying some possibilities (7 & 1), (8 & 3), (9 & 5), and (10 & 7), finally gets us to the answer: n = 10 and p = 7.00.

therefore

the number of pieces was 10

User PermaNoob
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2.9k points
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