SOLUTION: 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

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: 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      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



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?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
X is the cost of 1 lb of butter
Y is the cost of 1 lb of peanuts
.
.
.
12X%2B10Y=91 <--- Total cost
Y=4X <--- Cost comparison
Substituting,
12X%2B10%284X%29=91
12X%2B40X=91
52X=91
X=1.75<--- Cost of 1 lb of butter