SOLUTION: Paint Town sold 45 paintbrushes, one kind at $8.50 each and another at $9.75 each. In all, $398.75 was taken in for the brushes. How many of each kind were sold?

Question 163766: Paint Town sold 45 paintbrushes, one kind at $8.50 each and another at $9.75 each. In all, $398.75 was taken in for the brushes. How many of each kind were sold?
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
9.75X+8.50(45-X)=398.75
9.75X+382.50-8.50X=398.75
1.25X=398.75-382.50
1.25X=16.25
X=16.25/1.25
X=13 OF THE $9.75 PAINT BRUSHES WERE SOLD.
45-13=32 OF THE $8.50 PAINT BRUSHES WERE SOLD.
PROOF:
9.75*13+8.50*32=398.75
126.75+272=398.75
398.75=398.75
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