document.write( "Question 1060013: You have one type of candy that sells for $1.50/lb and another type of candy that sells for $6.80/lb. You would like to have 31.8 lbs of a candy mixture that sells for $5.50/lb. How much of each candy will you need to obtain the desired mixture?
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Algebra.Com's Answer #675059 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+a+\" = pounds of $1.50/lb candy needed
\n" ); document.write( "Let \"+b+\" = pounds of $6.80/lb candy needed
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\n" ); document.write( "(1) \"+a+%2B+b+=+31.8+\"
\n" ); document.write( "(2) \"+%28+1.5a+%2B+6.8b+%29+%2F+31.8+=+5.5+\"
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\n" ); document.write( "(2) \"+1.5a+%2B+6.8b+=+5.5%2A31.8+\"
\n" ); document.write( "(2) \"+1.5a+%2B+6.8b+=+174.9+\"
\n" ); document.write( "(2) \"+15a+%2B+68b+=+1749+\"
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\n" ); document.write( "Multiply both sides of (1) by \"+1.5+\"
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(1) \"+1.5a+%2B+1.5b+=+47.7+\"
\n" ); document.write( "(1) \"+15a+%2B+15b+=+477+\"
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\n" ); document.write( "(2) \"+15a+%2B+68b+=+1749+\"
\n" ); document.write( "(1) \"+-15a+-+15b+=+-477+\"
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\n" ); document.write( "\"+53b+=+1272+\"
\n" ); document.write( "\"+b+=+24+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+a+%2B+24+=+31.8+\"
\n" ); document.write( "(1) \"+a+=+7.8+\"
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\n" ); document.write( "7.8 pounds of $1.50/lb candy needed
\n" ); document.write( "24 pounds of $6.80/lb candy needed
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\n" ); document.write( "check:
\n" ); document.write( "(2) \"+%28+1.5a+%2B+6.8b+%29+%2F+31.8+=+5.5+\"
\n" ); document.write( "(2) \"+%28+1.5%2A7.8+%2B+6.8%2A24+%29+%2F+31.8+=+5.5+\"
\n" ); document.write( "(2) \"+%28+11.7+%2B+163.2++%29+%2F+31.8+=+5.5+\"
\n" ); document.write( "(2) \"+174.9+=+5.5%2A31.8+\"
\n" ); document.write( "(2) \"+174.9+=+174.9+\"
\n" ); document.write( "OK
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