document.write( "Question 1205022: Mark spent 1/10 of his salary on transport and 1/5 of it on food. He also gave 1/2 of his salary to his parents. He saved the remaining $480.
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document.write( "a) What fraction of the salary did he save?
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document.write( "b) How much money did he give his parents?
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document.write( "c) How much did he spend on food and transport?\r
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document.write( "A. a) 1/3, b) $1,000, c) $220\r
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document.write( "B. a) 1/5, b) $1,200, c) $240\r
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document.write( "C. a) 1/7, b) $1,400, c) $260\r
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document.write( "D. a) 1/9, b), $1,600, c) $280 \n" );
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Algebra.Com's Answer #841605 by Theo(13342) You can put this solution on YOUR website! he spent 1/10 on transport \n" ); document.write( "he spent 1/5 on food \n" ); document.write( "he spent 1/2 on his parents \n" ); document.write( "that's a total of 1/10 + 2/10 + 5/10 = 8/10. \n" ); document.write( "let x = his total salary. \n" ); document.write( "he saved 480. \n" ); document.write( "your formula is 1/10 * x + 1/5 * x + 1/2 * x + 480 = x \n" ); document.write( "this becomes 8/10 * x + 480 = x \n" ); document.write( "subtract 8/10 * x from both sides of the equation to get: \n" ); document.write( "480 = 2/10 * x \n" ); document.write( "solve for x to get: \n" ); document.write( "x = 10/2 * 480 = 2400\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the fraction of his salary that he saves if 480 / 2400 = .2 which is equal to 1/5.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your solution needs to be selection B.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "part a of selection B is correct. \n" ); document.write( "part b of selection B is correct.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "part c doesn't look right. \n" ); document.write( "from the problem statement, he spent 1/10 on transport. \n" ); document.write( "that would be 240. \n" ); document.write( "he also spent 1/5 on food. \n" ); document.write( "that would be 480. \n" ); document.write( "if part c was only for transport, it would be correct. \n" ); document.write( "if it's really transport AND food, then it's wrong, because that would be equal to 3/10 * 2400 = 720.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |