document.write( "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? \n" ); document.write( "
Algebra.Com's Answer #83653 by stanbon(75887)\"\" \"About 
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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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\n" ); document.write( "Let # of pens be \"p\"; Let # of pencils be \"c\"
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\n" ); document.write( "EQUATIONS:
\n" ); document.write( "6p + c = 9
\n" ); document.write( "4p +2c = 8
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\n" ); document.write( "Rearrange:
\n" ); document.write( "6p+c = 9
\n" ); document.write( "2p+c = 4
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\n" ); document.write( "Substract 2nd from 1st to get:
\n" ); document.write( "4p = 5
\n" ); document.write( "p = 5/4 = $1.25 (price of a pen)
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\n" ); document.write( "Substitute to solve for \"c\":
\n" ); document.write( "4(5/4)+2c = 8
\n" ); document.write( "5 + 2c = 8
\n" ); document.write( "2c = 3
\n" ); document.write( "c = 3/2 = $1.50 (price of a pencil)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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