SOLUTION: A year after a new model of basketball sneakers comes out, it is discounted to 70% of its original price of $150. A store sells a total of 340 pairs over the course of two years be

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A year after a new model of basketball sneakers comes out, it is discounted to 70% of its original price of $150. A store sells a total of 340 pairs over the course of two years be      Log On


   



Question 1097356: A year after a new model of basketball sneakers comes out, it is discounted to 70% of its original price of $150. A store sells a total of 340 pairs over the course of two years before the model is discontinued, making $45,600 in gross sales. How many pairs were sold before the discount was applied?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = number of pairs sold before discount
+340+-+x+ = number of pairs sold after discount
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+150x+%2B+.7%2A150%2A%28+340+-+x+%29+=+45600+
+150x+%2B+105%2A%28+340+-+x+%29+=+45600+
+150x+%2B+35700+-+105x+=+45600+
+45x+=+9900+
+x+=+220+
220 pairs were sold before discount was applied
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check:
+340+-+x+=+340+-+220+
+340+-+x+=+120+
and
+150x+%2B+105%2A%28+340+-+x+%29+=+45600+
+150%2A220+%2B+105%2A120+=+45600+
+33000+%2B+12600+=+45600+
+45600+=+45600+
OK