SOLUTION: Phil blended his fancy cat-food with generic cat-food. The fancy cat food cost $12 per pound. The generic cat food cost $4 per pound. Phil ate 5 pounds of cat food each day, and

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: Phil blended his fancy cat-food with generic cat-food. The fancy cat food cost $12 per pound. The generic cat food cost $4 per pound. Phil ate 5 pounds of cat food each day, and      Log On

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Question 902728: Phil blended his fancy cat-food with generic cat-food. The fancy cat food cost $12 per pound. The generic cat food cost $4 per pound. Phil ate 5 pounds of cat food each day, and he could afford to spend $35 per day on cat food-wanting as much fancy cat food as possible. How many pounds of each type of cat food went into his daily blend?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
u = pounds of cheap food
v = pounds of expensive food

5 pounds of food each day, u%2Bv=5.

Afford $35 on this food each day, 4u%2B12v=35.

The system of equations will match the 35 dollars and the 5 pounds.

Starting with elimination method,
4u%2B12v-%284u%2B4v%29=35-4%2A5
8v=35-20
8v=15
highlight%28v=15%2F8%29, 1 pound 14 ounces of the expensive food