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 #840139 by ikleyn(52790)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Julie cashed a paycheck and repaid her brother $10 that she had borrowed from him. \n" ); document.write( "She then spent $30 on fuel for her car and half of the remaining money on a new tent for camping. \n" ); document.write( "She bought a pair of running shoes for $29.45 and had $17.75 left. \n" ); document.write( "How much did Julie receive when she cashed her paycheck? \n" ); document.write( "~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " Tutor @MathTherapy mentioned very productive idea on use the backward method for this problem. \r \n" ); document.write( "\n" ); document.write( " In this my post I will show how effectively this idea works.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "So, let's stsart from the end.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Before Julie bought a pait of running choes, she had 17.75 + 29.45 = 47.20 dollars.\r\n" ); document.write( "\r\n" ); document.write( "This amount was the \"second half\" of her \"remaining\" money - so, the \"remaining\" money amount \r\n" ); document.write( "was 2*47.20 = 94.40 dollars .\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Hence, her paycheck was $ 94.40 PLUS $30 PLUS $30, i.e. 94.40 + 10 + 30 = 134.40 dollars.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. The paycheck was $134.40.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The backward method in this problem works SO EFFECTIVELY, \n" ); document.write( "that the problem can be solved MENTALLY in couple of lines without using equations.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |