SOLUTION: A department store held a sale to sell all of the 214 winter jackets that remained after the season ended. Unitl noon, each jacket in the store was priced at $31.95. At noon, the p

Question 708691: A department store held a sale to sell all of the 214 winter jackets that remained after the season ended. Unitl noon, each jacket in the store was priced at $31.95. At noon, the price of the jackets was further reduced to $18.95. After the last jacket was sold, total receipts for the clearance sale were $5108.30. How many jackets were sold before noon and how many were sold after noon?
Make a system to solve.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
= number of jackets were sold before noon (at $31.95 each)
= number of jackets were sold after noon (at $18.95 each)
All jackets were sold, so

Before noon, the money received for selling jackets at $31.95 each was
$
After noon, the amount received for selling jackets at $18.95 each was
$
The total receipts of the clearance sale (all the money received for selling those jackets, in $ was

Those two equations form the system

The first equation times 18.95,
-->
can be subtracted from the second one to get
--> --> -->
That along with result in
--> -->
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