document.write( "Question 361883: in how many years will there be 2 times as many students majoring in engineering than in business.\r
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document.write( "Engineering = 120 enrolled in major 22 more students each year
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document.write( "Business = 105 enrolled in major 4 fewer students each year \n" );
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Algebra.Com's Answer #257998 by Theo(13342) You can put this solution on YOUR website! x is the number of years.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "today there are 120 enrolled in engineering. \n" ); document.write( "today there are 105 enrolled in business.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "annual change in engineering students is + 22 per year.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "annual change in business students is - 4 per year.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your equation is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "120 + (22*x) = 2 * (105 - 4*x)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "expand both sides of the equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "120 + 22*x = 210 - 8*x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subtract 120 from both sides of the equation and add 8*x to both sides of the equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "30*x = 90\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide both sides of the equation by 3 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this should happen in 3 years.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in 3 years there will be 120 + 66 = 186 students enrolled in engineering.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in 3 years there will be 105 - 12 = 93 students enrolled in business.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "186 is equal to 2 * 93.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "number of years is 3 is your answer.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |