document.write( "Question 1204637: angela has more money than carla. If angela gave carla 20$, they would have the same amount. If carla gave angela 22$, angela would have twice the amount as carla. How much does each person have? Form and use equations to find your answer. \n" ); document.write( "

Algebra.Com's Answer #841018 by mananth(16946) $\"\"$ $\"About$

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angela has more money than carla. If angela gave carla 20$, they would have the same amount. If carla gave angela 22$, angela would have twice the amount as carla. How much does each person have? Form and use equations to find your answer.\r
\n" ); document.write( "\n" ); document.write( "Let angela have $x
\n" ); document.write( "Carla have $y
\n" ); document.write( "If angela gave carla 20$, they would have the same amount.\r
\n" ); document.write( "\n" ); document.write( "x-20=y+20
\n" ); document.write( "x-y=40----------------------(1)\r
\n" ); document.write( "\n" ); document.write( "If carla gave angela 22$, angela would have twice the amount as carla\r
\n" ); document.write( "\n" ); document.write( "y-22 = (x+22)= 2(y-22)\r
\n" ); document.write( "\n" ); document.write( "x+22=2y-44
\n" ); document.write( "x-2y= -66--------------------(2)
\n" ); document.write( "Multiply (1) by -2 and add the equation to(2)
\n" ); document.write( "-2x+2y=-80
\n" ); document.write( "x-2y= -66
\n" ); document.write( "-x= -146\r
\n" ); document.write( "\n" ); document.write( "x=146\r
\n" ); document.write( "\n" ); document.write( "146-y =40\r
\n" ); document.write( "\n" ); document.write( "y=106\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Therefore, Angela has $146, and Carla has $106.\r
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