SOLUTION: A man bought some shirts for $720.00. If each shirt was $2.00 cheaper he would have received 4 more shirts. Calculate the number of shirts bought

Question 1091229: A man bought some shirts for $720.00. If each shirt was $2.00 cheaper he would have received 4 more shirts. Calculate the number of shirts bought
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
Let n = the number bought
Let p = the price of each shirt
Then p*n = 720 -> p = 720/n
Also (p-2)(n+4) = 720 -> (720/n-2)(n+4) = 720
720 + 720*4/n - 2n - 8 = 720
n^2 + 4n - 1440 = 0
This factors as:
(n+40)(n-36) = 0
Take the positive solution, n = 36
The number of shirts bought is 36.

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