document.write( "Question 1019146: Can I get help on the following question for linear equations and system word ploblem:\r
\n" ); document.write( "\n" ); document.write( "Alan is a plumber, and his coworker Bruce is an electrician. Alan charges customers a fee of $40 just to come to their houses and then $3 per minute that he is there. Bruce also charges a fee of $60 for a home visit, plus an additional $1 per minute. Last week the coworkers went to a job site together, spent the same amount of time working, and earned the same amount. How much did each one earn?
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #635136 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Alan is a plumber, and his coworker Bruce is an electrician.
\n" ); document.write( ":
\n" ); document.write( "Let m = no. minutes worked
\n" ); document.write( "write a cost equation for each man
\n" ); document.write( ":
\n" ); document.write( " Alan charges customers a fee of $40 just to come to their houses and then $3 per minute that he is there.
\n" ); document.write( "C(m) = 3m + 40
\n" ); document.write( ":
\n" ); document.write( " Bruce also charges a fee of $60 for a home visit, plus an additional $1 per minute.
\n" ); document.write( "C(m) = 1m + 60
\n" ); document.write( ":
\n" ); document.write( "Last week the coworkers went to a job site together, spent the same amount of time working, and earned the same amount.
\n" ); document.write( " How much did each one earn?
\n" ); document.write( "The cost for each is equal, therefore find the number of minutes they worked
\n" ); document.write( "3m + 40 = m + 60
\n" ); document.write( "3m - m = 60 - 40
\n" ); document.write( "2m = 20
\n" ); document.write( "m = 20/2
\n" ); document.write( "m = 10 min
\n" ); document.write( ":
\n" ); document.write( "Alan:
\n" ); document.write( "C(m) = 3(10) + 40
\n" ); document.write( "C(m) = 30 + 40
\n" ); document.write( "C(m) = $70
\n" ); document.write( "Bruce:
\n" ); document.write( "C(m) = 1(10) + 60
\n" ); document.write( "C(m) = $70
\n" ); document.write( ":
\n" ); document.write( "We can say they both earn $70 if the both work 10 min
\n" ); document.write( "
\n" );