document.write( "Question 1204068: Julie cashed a paycheck and repaid her brother $10 that she had borrowed from him. She then spent $30 on fuel for her car and half of the remaining money on a new tent for camping. She bought a pair of running shoes for $29.45 and had $17.75 left. How much did Julie receive when she cashed her paycheck? \n" ); document.write( "

Algebra.Com's Answer #840136 by MathTherapy(10552) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r\n" );
document.write( "Julie cashed a paycheck and repaid her brother $10 that she had borrowed from him. She then spent $30 on fuel for her car and half of the remaining money on a new tent for camping. She bought a pair of running shoes for $29.45 and had $17.75 left. How much did Julie receive when she cashed her paycheck?\r\n" );
document.write( "\r\n" );
document.write( "Sometimes it's easier to work BACKWARDS, from the final remainder to the initial mount. \r\n" );
document.write( "In this case though, I'll go forward. \r\n" );
document.write( "\r\n" );
document.write( "Let paycheck amount be P\r\n" );
document.write( "After repaying her brother $10 and buying fuel for $30, she had P - 10 - 30, or P - 40 remaining\r\n" );
document.write( "After paying  of remainder for a tent, she had , remaining\r\n" );
document.write( "After buying the shoes for $29.45, she had a FINAL remainder of \r\n" );
document.write( "As her FINAL remainder was $17.75, we get: \r\n" );
document.write( "                                                  \r\n" );
document.write( "                                                   P - 40 = 94.4 ----- Cross-multiplying\r\n" );
document.write( "                                         Paycheck, or P = 94.4 + 40 = $134.40

\n" ); document.write( "

\n" );