document.write( "Question 1027413: A recipe for peanut butter requires 12 pounds of butter and 10 pounds of peanuts. A pound of peanuts costs four times as much as a pound of butter. If the total cost of the batch of peanut butter is $91, how much does one pound of butter cost? \n" ); document.write( "

Algebra.Com's Answer #642655 by Fombitz(32388) $\"\"$ $\"About$

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$\"X\"$ is the cost of 1 lb of butter
\n" ); document.write( " $\"Y\"$ is the cost of 1 lb of peanuts
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\n" ); document.write( "\n" ); document.write( " $\"12X%2B10Y=91\"$ <--- Total cost
\n" ); document.write( " $\"Y=4X\"$ <--- Cost comparison
\n" ); document.write( "Substituting,
\n" ); document.write( " $\"12X%2B10%284X%29=91\"$
\n" ); document.write( " $\"12X%2B40X=91\"$
\n" ); document.write( " $\"52X=91\"$
\n" ); document.write( " $\"X=1.75\"$ <--- Cost of 1 lb of butter\r
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