document.write( "Question 1208178: Hi
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document.write( "Bob bought a pair of shoes. He also spent 1/4 of the remainder of his money on a pair of pants. He had $189 left. If the cost of the pants was 3/7 the cost of the shoes, what is the price of the shoes. \n" );
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Algebra.Com's Answer #846419 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Presumably a solution using formal algebra was desired; you have received two responses with very different formal solutions. \n" ); document.write( "But you can get very good mental exercise (and problem-solving experience) by solving the problem less formally, using logical reasoning and simple arithmetic. \n" ); document.write( "Bob had $189 left after spending 1/4 of his remaining money on a pair of pants. That means the $189 was 3/4 of his remaining money. 1/4 is one-third of 3/4, so the amount he spent on the pants was 1/3 of $189, or $63. \n" ); document.write( "The cost of the pants was 3/7 of the cost of the shoes, so the cost of the shoes was 7/3 of the cost of the pants. So the cost of the shoes was (7/3)*$63 = 7*$21 = $147. \n" ); document.write( "ANSWER: $147 \n" ); document.write( " \n" ); document.write( " |