document.write( "Question 838453: Write a system of equations for each situation.\r
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document.write( "a) Michael is three times older than his sister
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document.write( " Angela. In 1 year, Michael will be twice
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document.write( " as old as Angela. How old are the two
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document.write( "children today?\r
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document.write( "b) A $2 raffle ticket offers a bonus $1 early
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document.write( "bird draw. 400 tickets were sold for the
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document.write( "draw and a total of $894 was collected
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document.write( "from ticket sales. how many were
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document.write( "bought for $2 and how many were bought
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document.write( "for $3? \n" );
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Algebra.Com's Answer #505135 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! Write a system of equations for each situation. \n" ); document.write( "a) Michael is three times older than his sister Angela. \n" ); document.write( "m = 3a \n" ); document.write( " In 1 year, Michael will be twice as old as Angela. \n" ); document.write( "m + 1 = 3(a+1) \n" ); document.write( "m + 1 = 3a + 3 \n" ); document.write( "m = 3a + 3 - 1 \n" ); document.write( "m = 3a + 2 \n" ); document.write( "Replace m with 3a, solve for a, then find m \n" ); document.write( "How old are the two children today? \n" ); document.write( ": \n" ); document.write( "b) A $2 raffle ticket offers a bonus $1 early bird draw. \n" ); document.write( "let x = no. of $2 tickets; let y = no. of $3 tickets \n" ); document.write( " 400 tickets were sold for the draw and \n" ); document.write( "x + y = 400 \n" ); document.write( "y = (400-x) \n" ); document.write( " a total of $894 was collected from ticket sales. \n" ); document.write( "2x + 3y = 894 \n" ); document.write( "Replace y with (400-x), find x, then find y \n" ); document.write( "how many were bought for $2 and how many were bought for $3? \n" ); document.write( " |