document.write( "Question 347900: A club sold fruitcakes for a fund raising project. The two-pound cakes sold for $5 each and the five-pound cakes sold for $11 each. The club sold 323 pounds of cakes and received $749. How many of each did they sell? \n" ); document.write( "

Algebra.Com's Answer #248734 by stanbon(75887) $\"\"$ $\"About$

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A club sold fruitcakes for a fund raising project. The two-pound cakes sold for $5 each and the five-pound cakes sold for $11 each. The club sold 323 pounds of cakes and received $749. How many of each did they sell?
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\n" ); document.write( "Quantity Eq.::: 2t + 5f = 323 lbs
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\n" ); document.write( "Value Eq: 5(t) + 11(f) = 749 dollars
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\n" ); document.write( "Multiply thru 1st by 5
\n" ); document.write( "Multiply thru 2nd by 2
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\n" ); document.write( "10t + 25f = 5*323
\n" ); document.write( "10t + 22f = 2*749
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\n" ); document.write( "Subtract 2nd from 1st and solve for \"f\":
\n" ); document.write( "3f = 117
\n" ); document.write( "f = 29 (# of 5-pound cakes)
\n" ); document.write( "---
\n" ); document.write( "Use 2t + 5f = 323 to solve for \"t\":
\n" ); document.write( "2t + 5*29 = 323
\n" ); document.write( "2t = 178
\n" ); document.write( "t = 89 (# of 2-pound cakes)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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