document.write( "Question 1134874: Erica earned a total of $66,750 last year from her two jobs. The amount she earned from her job at the store was $1,150 more than three times the amount she earned from her job at the college. How much did she earn (in dollars) from her job at the college? \n" ); document.write( "

Algebra.Com's Answer #752371 by ikleyn(52798) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "    S + C = 66750      (1)   (for the Store and College)\r\n" );
document.write( "\r\n" );
document.write( "    S = 3*C + 1150     (2)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "You can rewrite these two equations in standard form\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    S +   C = 66750    (1) \r\n" );
document.write( "\r\n" );
document.write( "    S - 3*C =  1150    (2)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Now subtract equation (1) from equation (2). You will get\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "        -4*c = 1150 - 66750,   or\r\n" );
document.write( "\r\n" );
document.write( "         4C = 66750 - 1150\r\n" );
document.write( "\r\n" );
document.write( "         4C = 65600  ==============>  C = 65600/4 = 16400.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  The earning for the college is  $16400.  The rest  66750 - 16400 = 50350  dollars is the earning for the store.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "CHECK.   3*C + 1150 = 3*16400 + 1150 = 50350.    ! Precisely 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" );