document.write( "Question 1199888: Two mechanics worked on a car. The first mechanic charged
\n" ); document.write( "$ 55 per hour, and the second mechanic charged $110 per hour. The mechanics worked for a combined total of 20 hours, and together they charged a total of $1925. How long did each mechanic work? \n" ); document.write( "

Algebra.Com's Answer #833874 by ikleyn(52866) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "Two mechanics worked on a car. The first mechanic charged $ 55 per hour,
\n" ); document.write( "and the second mechanic charged $110 per hour.
\n" ); document.write( "The mechanics worked for a combined total of 20 hours, and together
\n" ); document.write( "they charged a total of $1925. How long did each mechanic work?
\n" ); document.write( "~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "x = hours 2nd mechanic worked, who charged 110 dollars per hour.\r\n" );
document.write( "\r\n" );
document.write( "20-x = hours 1st mechanic worked, who charged 55 dollars per hour.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The total cost is 110x + 55*(20-x), and the total money equation is THIS\r\n" );
document.write( "\r\n" );
document.write( "    110x + 55*(20-x) = 1925  dollars.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Simplify it and find x\r\n" );
document.write( "\r\n" );
document.write( "    110x + 1100 - 55x = 1925\r\n" );
document.write( "\r\n" );
document.write( "    110 - 55x = 1925 - 1100\r\n" );
document.write( "\r\n" );
document.write( "       55x    =    825\r\n" );
document.write( "\r\n" );
document.write( "         x    =    825/55 = 15.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  Second mechanic worked 15 hours.  First mechanic worked (20-15) = 5 hours.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "CHECK.  15*110 + 55*5 = 1925,  total money.    ! correct !\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );