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 #263312 by stanbon(75887)\"\" \"About 
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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.
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\n" ); document.write( "Equations:
\n" ); document.write( "b + r = 280
\n" ); document.write( "(2/3)b = (1/2)r
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\n" ); document.write( "Rearrange the 1st:
\n" ); document.write( "r = 280 - b
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\n" ); document.write( "Substitute for \"r\" and solve for \"b\":
\n" ); document.write( "(2/3)b = (1/2)(280-b)
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\n" ); document.write( "(2/3)b = 140- (1/2)b
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\n" ); document.write( "[(2/3)+(1/2)]b = 140
\n" ); document.write( "(4+3)/6)b = 140
\n" ); document.write( "(1/6)b = 20
\n" ); document.write( "b = 120 (original # of blue)
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\n" ); document.write( "Since r = 280-b = 160 (original # of red)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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