document.write( "Question 604072: carmen had $130 more than her sister, Rosa. rosa had twice as much money as their youngest sister, Zoe. If their mother gave carmen $60 and rosa $80, Carmen would have twice as much money as rosa. what was the total amount of money they had in the beginning?\r
\n" );
document.write( "\n" );
document.write( "I keep getting a negative number.
\n" );
document.write( "zoe =x
\n" );
document.write( "rosa=2x
\n" );
document.write( "carmen= 2x+130\r
\n" );
document.write( "\n" );
document.write( "SO....\r
\n" );
document.write( "\n" );
document.write( "2(2x+80)=2x+30+60\r
\n" );
document.write( "\n" );
document.write( "4x+160=2x+90
\n" );
document.write( "4x-2x+160=2x-2x+90
\n" );
document.write( "2x+160=90
\n" );
document.write( "2x+160-160=90-160
\n" );
document.write( "2x=-70
\n" );
document.write( "x=-35\r
\n" );
document.write( "\n" );
document.write( "what did I do wrong??? \n" );
document.write( "
Algebra.Com's Answer #381090 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! carmen had $130 more than her sister, Rosa. rosa had twice as much money as their youngest sister, Zoe. If their mother gave carmen $60 and rosa $80, Carmen would have twice as much money as rosa. what was the total amount of money they had in the beginning? \n" ); document.write( "I keep getting a negative number. \n" ); document.write( "zoe =x \n" ); document.write( "rosa=2x \n" ); document.write( "carmen= 2x+130 \n" ); document.write( ": \n" ); document.write( "\" mother gave carmen $60 and rosa $80, Carmen would have twice as much money as rosa.\" \n" ); document.write( "Wouldn't the equation be: \n" ); document.write( "2x + 130 + 60 = 2(2x+80) \n" ); document.write( "2x + 190 = 4x + 160 \n" ); document.write( "190 - 160 = 2x - 4x \n" ); document.write( "30 = 2x \n" ); document.write( "x = $15 is Zoes amt \n" ); document.write( "then \n" ); document.write( "2(15) = $30 is Rosa's in the beginning \n" ); document.write( "and \n" ); document.write( "2(15) + 130 = $160 is Carmen's original amt \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "See if this checks out in the statement \n" ); document.write( "\"mother gave carmen $60 and rosa $80, Carmen would have twice as much money as rosa. \n" ); document.write( "160 + 60 = 2(30+80) \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Looking over your work \n" ); document.write( "2(2x+80)=2x+30+60 \n" ); document.write( "This should be \n" ); document.write( "2(2x+80) = 2x + 130 + 60; not 30 \n" ); document.write( " \n" ); document.write( " |