document.write( "Question 334377: 1. Bruce, an appliance salesman, earns a commission of $50 for each washing machine he sells and $100 for each refrigerator. Last month he earned $500 in commissions. Find all possibilities for the number of each kind of appliance he could have sold. 2. \n" ); document.write( "
Algebra.Com's Answer #239724 by jrfrunner(365)\"\" \"About 
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let W=number of washing machines sold
\n" ); document.write( "let R=number of refrigerators sold
\n" ); document.write( "let T=total of W and R sold
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\n" ); document.write( "quantity eq 1) W+R=T or W=T-R
\n" ); document.write( "earnings eq 2) 50*W+100*R=500
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\n" ); document.write( "Substitute W=T-R into equation 2
\n" ); document.write( "50*(T-R)+100*R=500
\n" ); document.write( "50*T-50*R+100*R=500
\n" ); document.write( "50*T+50*R=500
\n" ); document.write( "T+R=10
\n" ); document.write( "R=10-T and since W=T-R=T-(10-T)=2T-10\r
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\n" ); document.write( "since we need R>=0 then R=10-T>=0 or T<=10
\n" ); document.write( "also need W>=0 then 2T-10>=0 or T>=5
\n" ); document.write( "therefore 5<=T<=10, R=10-T, W=2T-10
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\n" ); document.write( "T=5 then R=5, W=0
\n" ); document.write( "T=6 then R=4, W=2
\n" ); document.write( "T=7 then R=3, W=4
\n" ); document.write( "T=8 then R=2, W=6
\n" ); document.write( "T=9 then R=1, W=8
\n" ); document.write( "T=10 then R=0, W=10
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