SOLUTION: James bought some apples for $294. Then 16 of the apples are rotten. He sold all the other good apples at 40% increase in the cost price and made a profit of $84. How many apples d

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: James bought some apples for $294. Then 16 of the apples are rotten. He sold all the other good apples at 40% increase in the cost price and made a profit of $84. How many apples d      Log On


   

Question 1054911: James bought some apples for $294. Then 16 of the apples are rotten. He sold all the other good apples at 40% increase in the cost price and made a profit of $84. How many apples did he buy?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = the number of apples he bought
+n+-+16+ = the number of apples he sold
+294%2Fn+ = the original cost/apple
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The profit was $84, so he sold +n+-+16+
apples for +294+%2B+84+=+378+
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+378%2F%28+n-16+%29+ = the cost/apple for the ones he sold
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Each apple is sold for 40% more than it cost
+378%2F%28+n-16+%29+=+1.4%2A%28+294%2Fn+%29+
Multiply both sides by +n%2A%28+n-16+%29+
+378n+=+1.4%2A294%2A%28+n-16+%29+
+378n+=+411.6%2A%28+n+-+16+%29+
+378n+=+411.6n+-+6585.6+
+33.6n+=+6585.6+
+n+=+196+
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He bought 196 apples
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check:
+294%2F196+=+1.5+
$1.50 is the original cost/apple
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A 40% increase in cost is: +1.4%2A1.5+=+2.1+
He sold +196+-+16+=+180+ apples
for $2.10 each
+180%2A2.1+=+378+ $378
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His profit was:
+378+-+294+=+84+ $84
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Looks OK, you might want a 2nd opinion, too
& check my math