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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?

 Apr 17, 2020
 #1
avatar+20808 
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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)  =  88.00     --->   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.

 Apr 17, 2020
 #2
avatar+45 
+1

Thank you

alrawashdeh04  Apr 17, 2020

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