SOLUTION: PurePets dog food is 35% vegetables 65% meat and grain. NewTone dog food is 42% vegetables and 58% meat and grain. How much of each would be needed to produce 25 pounds of dog food

Question 977836: PurePets dog food is 35% vegetables 65% meat and grain. NewTone dog food is 42% vegetables and 58% meat and grain. How much of each would be needed to produce 25 pounds of dog food that was 50% vegetable and 50% meat and grain?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
p, how much of PurePets
n, how much of NewTone

accounts for masses.

Accounting for vegetable:

Accounting for meat:

Only two equations are needed for the system because only two unknown variables need resolution. A full system is

and then

-
Best would be to omit either of the percentage equations, and use the mass equation to substitute for either n or p.
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