document.write( "Question 88247: A gourmet food shop mixes nuts selling at $16/lb with fruit selling at $3/lb. They want a mixture of 7lbs to sell at $12/lb. How many pounds of each should they use? \n" ); document.write( "
Algebra.Com's Answer #64274 by ankor@dixie-net.com(22740)\"\" \"About 
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A gourmet food shop mixes nuts selling at $16/lb with fruit selling at $3/lb. They want a mixture of 7lbs to sell at $12/lb. How many pounds of each should they use?
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\n" ); document.write( "Let x = amt of $16/lb nuts required
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\n" ); document.write( "The resulting mixture is given as 7 lbs
\n" ); document.write( "Therefore:
\n" ); document.write( "(7 - x) = amt of $3/lb fruit
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\n" ); document.write( "A simple equation:
\n" ); document.write( "16x + 3(7-x) = 12(7)
\n" ); document.write( "16x + 21 - 3x = 84
\n" ); document.write( "16x - 3x = 84 - 21
\n" ); document.write( "13x = 63
\n" ); document.write( "x = 63/13
\n" ); document.write( "x = 4.846 lb of nuts required
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\n" ); document.write( "7 - 4.846 = 2.154 lb of fruit required
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\n" ); document.write( "Check solution in original equation:
\n" ); document.write( "16(4.846) + 3(2.154) =
\n" ); document.write( " 77.536 + 6.462 = 83.998 ~ 84\r
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