document.write( "Question 394839: While on a four-week hiking trip in the mountains, the Tryon family washed 11 loads of clothes at The Mountain View Laundry. The 20-lb capacity washing machine costs $1.50 per load while the 30-lb costs $2.50. Their total laundry expense was $20.50. How many loads were laundered in each size washing machine? \n" ); document.write( "

Algebra.Com's Answer #280187 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"a\"$ = number of loads washed in 20 pound machine
\n" ); document.write( "Let $\"b\"$ = number of loads washed in 30 pound machine
\n" ); document.write( "given:
\n" ); document.write( " $\"150a+%2B+250b+=+2050\"$ (in cents)
\n" ); document.write( "(1) $\"3a+%2B+5b+=+41\"$
\n" ); document.write( "(2) $\"a+%2B+b+=+11\"$
\n" ); document.write( "Multiply both sides of (2) by $\"3\"$ , and
\n" ); document.write( "and subtract (2) from (1)
\n" ); document.write( "(1) $\"3a+%2B+5b+=+41\"$
\n" ); document.write( "(2) $\"-3a+-+3b+=+33\"$
\n" ); document.write( " $\"2b+=+8\"$
\n" ); document.write( " $\"b+=+4\"$
\n" ); document.write( "And, from (2),
\n" ); document.write( " $\"a+%2B+4+=+11\"$
\n" ); document.write( " $\"a+=+7\"$
\n" ); document.write( "7 loads were washed in the 20 pound machine
\n" ); document.write( "4 loads were washed in the 30 pound machine \n" ); document.write( "

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