document.write( "Question 1202333: David spent $75 of his money on some t-shirts. He spent 1/4 of the remaining money on some batteries. Given that he was left with 1/3 of his original sum of money left, how much money did David have at first? \n" ); document.write( "

Algebra.Com's Answer #837212 by MathTherapy(10557) $\"\"$ $\"About$

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document.write( "David spent $75 of his money on some t-shirts. He spent 1/4 of the remaining money on some batteries. Given that he was left with 1/3 of his original sum of money left, how much money did David have at first?\r\n" );
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document.write( "Let initial amount David had, be D\r\n" );
document.write( "After spending $75, he had D - 75 remaining\r\n" );
document.write( "After spending ¼remainder, he then had: ¾remainder, or ¾(D  -  75), or  remaining\r\n" );
document.write( "Since after his spending \"spree,\" his remainder was  of his initial amount, we then get:  \r\n" );
document.write( "                                                                                         3(3D - 225) = 4D ----- Cross-multiplying\r\n" );
document.write( "                                                                                            9D - 675 = 4D\r\n" );
document.write( "                                                                                               - 675 = 4D - 9D\r\n" );
document.write( "                                                                                               - 675 = - 5D\r\n" );
document.write( "                                                                    Original amount David had, or

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