document.write( "Question 1207317: Hi
\n" ); document.write( "Sally has 1153 coloured marbles. She buys more red marbles to double the original number of red marbles and gives away half her blue marbles. She loses 30 green marbles and buys 20 more purple marbles. All the marbles are equal in number. How many of each did she have at first.
\n" ); document.write( "My sons attempt revealed fractions.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #845123 by Edwin McCravy(20055) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r\n" );
document.write( "Let x = the common number of each color Sally had at the end.\r\n" );
document.write( "\r\n" );
document.write( "At the beginning she had: \r\n" );
document.write( "half as many reds, or 0.5x reds.\r\n" );
document.write( "twice as many blues, or 2x blues.\r\n" );
document.write( "30 more greens, or x+30 greens.\r\n" );
document.write( "20 fewer purples, or x-20 purples.\r\n" );
document.write( "\r\n" );
document.write( "So\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "At the beginning she had: \r\n" );
document.write( "0.5x = 0.5(254) = 127 reds.\r\n" );
document.write( "2x = 2(254) = 508 blues.\r\n" );
document.write( "x+30 = 254+30 = 284 greens.\r\n" );
document.write( "x-20 = 254-20 = 234 purples.\r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( "

\n" );