document.write( "Question 597990: A stationery company sells two types of notepads to college bookstores, the first wholesaling for 50¢ and the second for 70¢. The company receives an order for 550 notepads, together with a check for $311. If the order fails to specify the number of each type, how should the company fill the order? \n" ); document.write( "

Algebra.Com's Answer #378420 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = number of 50 cent notepads ordered
\n" ); document.write( "Let $\"+b+\"$ = number of 70 cent notepads ordered
\n" ); document.write( "--------
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+%2B+b+=+550+\"$
\n" ); document.write( "(2) $\"+.5a+%2B+.7b+=+311+\"$
\n" ); document.write( "-----------------
\n" ); document.write( "(2) $\"+5a+%2B+7b+=+3110+\"$
\n" ); document.write( "Multiply both sides of (1) by $\"5\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+5a+%2B+7b+=+3110+\"$
\n" ); document.write( "(1) $\"+-5a+-+5b+=+-2750+\"$
\n" ); document.write( " $\"+2b+=+360+\"$
\n" ); document.write( " $\"+b+=+180+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+a+%2B+b+=+550+\"$
\n" ); document.write( "(1) $\"+a+%2B+180+=+550+\"$
\n" ); document.write( "(1) $\"+a+=+370+\"$
\n" ); document.write( "370 50 cent notepads were ordered
\n" ); document.write( "180 70 cent notepads were ordered
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+.5a+%2B+.7b+=+311+\"$
\n" ); document.write( "(2) $\"+.5%2A370+%2B+.7%2A180+=+311+\"$
\n" ); document.write( "(2) $\"+185+%2B+126+=+311+\"$
\n" ); document.write( "{2) $\"+311+=+311+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );