SOLUTION: Prior to a sale,17 t-shirts were sold at $8 each. The summer sale began and a further 85 t-shirts were sold at a reduced price. The average amount paid for each t-shirt over the wh

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: Prior to a sale,17 t-shirts were sold at $8 each. The summer sale began and a further 85 t-shirts were sold at a reduced price. The average amount paid for each t-shirt over the wh      Log On

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Question 988791: Prior to a sale,17 t-shirts were sold at $8 each. The summer sale began and a further 85 t-shirts were sold at a reduced price. The average amount paid for each t-shirt over the whole time was $6 each. WHAT WAS THE SALE PRICE?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +p+ = the sale price for the 85 shirts
I have to find:
[ total of money paid for shirts ] / [ total number of shirts ]
+17%2A8+=+136+
+85p+ = amount paid for 85 shirts @ sale price
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given:
+%28+136+%2B+85p+%29+%2F+%28+17+%2B+85+%29+=+6+
+136+%2B+85p+=+6%2A102+
+85p+=+612+-+136+
+85p+=+476+
+p+=+5.6+
The sale price was $5.60 each
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check:
+%28+136+%2B+85p+%29+%2F+%28+17+%2B+85+%29+=+6+
+%28+136+%2B+85%2A5.6+%29+%2F+%28+17+%2B+85+%29+=+6+
+%28+136+%2B+476+%29+%2F+102+=+6+
+612+=+6%2A102+
+612+=+612+
OK