document.write( "Question 1138116: Brown sold his car for 3/5 of the cost price and finds that in doing so he has lost £750.How much did he sell the car? \n" ); document.write( "
Algebra.Com's Answer #756020 by Theo(13342)\"\" \"About 
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he sold the car for 3/5 of the cost price and lost 750.\r
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\n" ); document.write( "\n" ); document.write( "that means that 2/5 of the cost price must have been equal to 750.\r
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\n" ); document.write( "\n" ); document.write( "that means that the cost of the car had to be 5/2 * 750 = 1875.\r
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\n" ); document.write( "\n" ); document.write( "the cost of the car was 1875.\r
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\n" ); document.write( "\n" ); document.write( "he sold it at 3/5 of the cost which would be 3/5 * 1875 = 1125.\r
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\n" ); document.write( "\n" ); document.write( "he lost 1875 - 1125 = 750.\r
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\n" ); document.write( "\n" ); document.write( "solution looks good.\r
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\n" ); document.write( "\n" ); document.write( "solution is that he sold the car for 1125.\r
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\n" ); document.write( "\n" ); document.write( "to solve using algebra, do the following.\r
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\n" ); document.write( "\n" ); document.write( "let x = the cost of the car.\r
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\n" ); document.write( "\n" ); document.write( "he sold the car for 3/5 * x and lost 750.\r
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\n" ); document.write( "\n" ); document.write( "therefore 3/5 * x + 750 = x.\r
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\n" ); document.write( "\n" ); document.write( "this means that 3/5 times the cost plus 750 equals the cost of the car.\r
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\n" ); document.write( "\n" ); document.write( "subtract 3/5 * x from both sides of that equation to get 750 = x - 3/5 * x\r
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\n" ); document.write( "\n" ); document.write( "simplify to get 750 = 2/5 * x\r
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\n" ); document.write( "\n" ); document.write( "multiply both sides of this equation by 5/2 to get 750 * 5/2 = 2/5 * x * 5/2\r
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\n" ); document.write( "\n" ); document.write( "simplify to get 750 * 5/2 = x\r
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\n" ); document.write( "\n" ); document.write( "solve for x to get x = 5/2 * 750 = 1875.\r
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\n" ); document.write( "\n" ); document.write( "the cost of the car is 1875.\r
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\n" ); document.write( "\n" ); document.write( "he sold it for 3/5 * 1875 = 1125.\r
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\n" ); document.write( "\n" ); document.write( "he lost 1875 - 1125 = 750.\r
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