document.write( "Question 1143848: The monthly salary of Mr.Gill is the same each month.
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document.write( " In November, Mr Gill spent $1600 of his month salary
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document.write( "And saved the rest. In December, he increased his
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document.write( "Spending by 30% and his savings decreased by 50%.
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document.write( "How much did he save in November?
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document.write( "Please help us.
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document.write( "Thanks in advance! \n" );
document.write( "
Algebra.Com's Answer #764768 by ikleyn(52778)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "Let x be his saving in November (exactly the unknown value).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Then his saving in December was 0.5x, according to the condition.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Thus his November salary is 1600 + x dollars;\r\n" ); document.write( "\r\n" ); document.write( " his December salary is 1600*1.3 + 0.5x dollars.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The salary is the same -- it gives you an equation\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 1600 + x = 2080 + 0.5x\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Simplify and solve it :\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " x - 0.5x = 2080 - 1600\r\n" ); document.write( "\r\n" ); document.write( " 0.5x = 480\r\n" ); document.write( "\r\n" ); document.write( " x =\r \n" ); document.write( "\n" ); document.write( "------------------\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " You can solve the problem MENTALLY, too, i.e. without using equation/equations.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "He increased his spending by 1600*0.3 = 480 dollars, and, therefore (or due to it), he decreased his saving in half.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Hence, half of his saving in November is exactly 480 dollars -- thus his saving on November was 2*480 = 960 dollars.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "You get the same result.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |