SOLUTION: If you buy 6 pens and 1 mechanical pencil you will only get $1 change from your $10 dollar bill, but if you buy 4 pens and 2 mechanical pencils you will get $2 change. How much do

Question 114980: If you buy 6 pens and 1 mechanical pencil you will only get $1 change from your $10 dollar bill, but if you buy 4 pens and 2 mechanical pencils you will get $2 change. How much does each pen and mechanical pencil cost?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If you buy 6 pens and 1 mechanical pencil you will only get $1 change from your $10 dollar bill, but if you buy 4 pens and 2 mechanical pencils you will get $2 change. How much does each pen and mechanical pencil cost?
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Let # of pens be "p"; Let # of pencils be "c"
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EQUATIONS:
6p + c = 9
4p +2c = 8
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Rearrange:
6p+c = 9
2p+c = 4
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Substract 2nd from 1st to get:
4p = 5
p = 5/4 = $1.25 (price of a pen)
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Substitute to solve for "c":
4(5/4)+2c = 8
5 + 2c = 8
2c = 3
c = 3/2 = $1.50 (price of a pencil)
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Cheers,
Stan H.
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