document.write( "Question 957966: A candy store sells candy in bulk. In one bin are sour worms which sells for $2.20 per pound and a second bin are sour bears which sell for $2.75 per pound. How much of each type should be mixed to obtain a 3 pound mixture that sells for $2.40 per pound? \n" ); document.write( "
Algebra.Com's Answer #585454 by josmiceli(19441)\"\" \"About 
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Let \"+a+\" = pounds of sour worms needed
\n" ); document.write( "Let \"+b+\" = pounds of sour bears needed
\n" ); document.write( "--------------------
\n" ); document.write( "(1) \"+a+%2B+b+=+3+\"
\n" ); document.write( "(2) \"+%28+2.2a+%2B+2.75b+%29+%2F+3+=+2.4+\"
\n" ); document.write( "------------------------------
\n" ); document.write( "(2) \"+2.2a+%2B+2.75b+=+2.4%2A3+\"
\n" ); document.write( "(2) \"+2.2a+%2B+2.75b+=+7.2+\"
\n" ); document.write( "(2) \"+220a+%2B+275b+=+720+\"
\n" ); document.write( "(2) \"+44a+%2B+55b+=+144+\"
\n" ); document.write( "Multiply both sides of (1) by \"+44+\"
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) \"+44a+%2B+55b+=+144+\"
\n" ); document.write( "(1) \"+-44a+-+44b+=+132+\"
\n" ); document.write( "------------------------
\n" ); document.write( "\"+11b+=+12+\"
\n" ); document.write( "\"+b+=+12%2F11+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+a+%2B+12%2F11+=+3+\"
\n" ); document.write( "(1) \"+a+=+33%2F11+-+12%2F11+\"
\n" ); document.write( "(1) \"+a+=+21%2F11+\"
\n" ); document.write( "-----------------------
\n" ); document.write( "1.909 pounds of sour worms are needed
\n" ); document.write( "1.091 pounds of sour bears are needed
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+%28+2.2a+%2B+2.75b+%29+%2F+3+=+2.4+\"
\n" ); document.write( "(2) \"+%28+2.2%2A%2821%2F11%29+%2B+2.75%2A%2812%2F11%29+%29+%2F+3+=+2.4+\"
\n" ); document.write( "(2) \"+.2%2A21+%2B+3++=+2.4%2A3+\"
\n" ); document.write( "(2) \"+4.2+%2B+3+=+7.2+\"
\n" ); document.write( "(2) \"+7.2+=+7.2+\"
\n" ); document.write( "OK\r
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