document.write( "Question 503947: can you please help me?\r
\n" ); document.write( "\n" ); document.write( "a box of pencils cost $3 and a box of erasers cost $1.50 cents each. stuart spent $30.00 on pencils and erasers. if he bought two more boxes of erasers than pencils, how many boxes of pencils did he purchase? \n" ); document.write( "

Algebra.Com's Answer #339469 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"p\"$ = boxes of pencils he bought
\n" ); document.write( "Let $\"e\"$ = boxes of erasers he bought
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+3p+%2B+1.5e+=+30+\"$
\n" ); document.write( "(1) $\"+30p+%2B+15e+=+300+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+e+=+p+%2B+2+\"$
\n" ); document.write( "--------------
\n" ); document.write( "Substitute (2) into (1)
\n" ); document.write( "(1) $\"+30p+%2B+15%2A%28+p+%2B+2+%29+=+300+\"$
\n" ); document.write( "(1) $\"+30p+%2B+15p+%2B+30+=+300+\"$
\n" ); document.write( "(1) $\"+45p+=+270+\"$
\n" ); document.write( "(1) $\"+p+=+6+\"$
\n" ); document.write( "He bought 6 boxes of pencils
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+3p+%2B+1.5e+=+30+\"$
\n" ); document.write( "(1) $\"+3%2A6+%2B+1.5e+=+30+\"$
\n" ); document.write( "(1) $\"+1.5e+=+30+-+18+\"$
\n" ); document.write( "(1) $\"+1.5e+=+12+\"$
\n" ); document.write( "(1) $\"+e+=+8+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+e+=+p+%2B+2+\"$
\n" ); document.write( "(2) $\"+8++=+6+%2B+2+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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