document.write( "Question 369491: Henry bought 280 blue and red paper cups. He used 1/3 of the blue ones and 1/2 of the red ones at a party. If he had an equal number of blue cups and red cups left, how many cups did he use altogether. \n" ); document.write( "
Algebra.Com's Answer #263327 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Hi,
\n" ); document.write( "Let b represent the number of blue cups and r the number of red cups originally purchased
\n" ); document.write( "amount of each left is equal according to the question
\n" ); document.write( "2/3 * b = 1/2* r
\n" ); document.write( "4/3 *b = r
\n" ); document.write( "b + r = 280
\n" ); document.write( "b + (4/3)b = 280
\n" ); document.write( "(7/3)b = 280
\n" ); document.write( "b = 280*(3/7)
\n" ); document.write( "b = 120, the original amt of blue cups purchased. Red = 160 (280-120)
\n" ); document.write( "How many used?
\n" ); document.write( "1/3*120 + 1/2*140 = 40 + 70 = 100 \n" ); document.write( "
\n" );