document.write( "Question 1145012: Two mechanics worked on a car. The first mechanic charged $65 per hour, and the second mechanic charged $115 per hour. The mechanics worked for a combined total of 35 hours, and together they charged a total of $3025. How long did each mechanic work?\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #766211 by MathTherapy(10555) $\"\"$ $\"About$

You can put this solution on YOUR website!
Two mechanics worked on a car. The first mechanic charged $65 per hour, and the second mechanic charged $115 per hour. The mechanics worked for a combined total of 35 hours, and together they charged a total of $3025. How long did each mechanic work?
\n" ); document.write( "

Let first mechanic's hours be F, and second's, S
\n" );
document.write( "Then we get: F + S = 35_____F = 35 - S ------- eq (i)
\n" );
document.write( "Also, 65F + 115S = 3,025_____5(13F + 23S) = 5(605)______13F + 23S = 605 ------ eq (ii)
\n" );
document.write( "13(35 - S) + 23S = 605 ------- Substituting 35 - S for F in eq (ii)
\n" );
document.write( "13(35) - 13S + 23S = 605
\n" );
document.write( "10S = 605 - 13(35)
\n" );
document.write( "S, or hours worked by the second mechanic =  
\n" );
document.write( "Substitute 15 for S in eq (i) to get F, the hours worked by the first mechanic \n" );
document.write( "

\n" );