document.write( "Question 689422: A candy store sells cans of cashews for $4.50 per pound and peanuts for $2.50 per pound. If you wanted to buy exactly 8 pounds of nuts for $23.00, how many pounds of each kind should you buy? \n" ); document.write( "

Algebra.Com's Answer #425953 by stanbon(75887) $\"\"$ $\"About$

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A candy store sells cans of cashews for $4.50 per pound and peanuts for $2.50 per pound. If you wanted to buy exactly 8 pounds of nuts for $23.00, how many pounds of each kind should you buy?
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\n" ); document.write( "Note: $23 for 8 lbs means 2.875 per pound
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\n" ); document.write( "Value Equation: 4.5c + 2.5p = 2.875*8
\n" ); document.write( "Quantity Equation: c + p = 8 lbs
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\n" ); document.write( "c = 8-p
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\n" ); document.write( "Substitute for \"c\" and solve for \"p\":
\n" ); document.write( "4.5(8-p) + 2.5p = 2.875*8
\n" ); document.write( "---
\n" ); document.write( "4.5*8 - 4.5p + 2.5p = 2.875*8
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\n" ); document.write( "-2.5p = -1.625*8
\n" ); document.write( "p = 5.2 lbs (amt. of peanuts needed)
\n" ); document.write( "----
\n" ); document.write( "c = 8-5.2 = 2.7 lbs (amt. of cashews needed)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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