document.write( "Question 1015916: jacob bought 280 blue and red paper cups he used 1/3 of the blue ones and 1/2 of the red ones. If he had an equal number of blue and red cups left over how many cups did he use altogether? \n" ); document.write( "
Algebra.Com's Answer #632357 by FrankM(1040)\"\" \"About 
You can put this solution on YOUR website!
B+R=280\r
\n" ); document.write( "\n" ); document.write( "2/3B=1/2R\r
\n" ); document.write( "\n" ); document.write( "Multiply both side of eq 2 by 6 (the least common multiple)\r
\n" ); document.write( "\n" ); document.write( "4B=3R\r
\n" ); document.write( "\n" ); document.write( "Rearrange eq 1 to R=280-B\r
\n" ); document.write( "\n" ); document.write( "Now substitute\r
\n" ); document.write( "\n" ); document.write( "4B = 3(280-B)\r
\n" ); document.write( "\n" ); document.write( "4B = 840 - 3B\r
\n" ); document.write( "\n" ); document.write( "7B = 840 \r
\n" ); document.write( "\n" ); document.write( "B = 120\r
\n" ); document.write( "\n" ); document.write( "R = 160\r
\n" ); document.write( "\n" ); document.write( "It adds to 280, and when he used 1/3 of B, 80 are left, the same as 1/2 of R. Done!
\n" ); document.write( "
\n" );