document.write( "Question 661831: A woman spent two-thirds of her money. She lost two-thirds of the remainder and then had $8 left. With how much money did she start? \n" ); document.write( "
Algebra.Com's Answer #411983 by ReadingBoosters(3246)![]() ![]() ![]() You can put this solution on YOUR website! x = starting money\r \n" ); document.write( "\n" ); document.write( "x - 2/3x - 2/3(x-2/3x) = 8 \n" ); document.write( "distribute the 2/3 \n" ); document.write( "x - 2/3x - 2/3x + 4/9x = 8 \n" ); document.write( "x + -2/3x + -2/3x + 4/9x = 8 \n" ); document.write( "in other words, dealing just with coefficients of x \n" ); document.write( "1 + -2/3 + -2/3 + 4/9 \n" ); document.write( "with common denominators \n" ); document.write( "9/9 + -6/9 + -6/9 + 4/9 \n" ); document.write( "9 - 12 + 4 = 1 \n" ); document.write( "1/9x = 8 \n" ); document.write( "Multiply both sides by 9 \n" ); document.write( "x = 72 = $72 started with \n" ); document.write( "Proof \n" ); document.write( "72 - 2/3(72) = 72 - 48 = 24 \n" ); document.write( "24 - 2/3(24) = 24 - 16 = 8 \n" ); document.write( " |