document.write( "Question 531867: Maria paid $8.25 for three pens and two notebooks. Mark paid $8.00 for two pens and three notebooks. Find the cost for each. \n" ); document.write( "

Algebra.Com's Answer #350632 by oberobic(2304) $\"\"$ $\"About$

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3p + 2n = 825
\n" ); document.write( "2p + 3n = 800
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\n" ); document.write( "Multiply the first equation by 2 and the second by 3, then subtract to eliminate the 'n' term.
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\n" ); document.write( "9p + 6n = 2475
\n" ); document.write( "4p + 6n = 1600
\n" ); document.write( "--------------- subtract
\n" ); document.write( "5p = 875
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\n" ); document.write( "p = 875/5 = 175, each pen is $1.75
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\n" ); document.write( "Substitute 'p' to find 'n'.
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\n" ); document.write( "2(175) + 3n = 800
\n" ); document.write( "350 + 3n = 800
\n" ); document.write( "3n = 450
\n" ); document.write( "n = 150, each notebook is $1.50
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\n" ); document.write( "Check the answer by substituting these values in the other equation.
\n" ); document.write( "3p + 2n = 825
\n" ); document.write( "3(175) + 2(150) = 825
\n" ); document.write( "525 + 300 = 825
\n" ); document.write( "Correct.
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\n" ); document.write( "Answer: Pens cost $1.75, and notebooks cost $1.50.
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\n" ); document.write( "Done. \n" ); document.write( "

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