SOLUTION: dave wants to purchase 25 pounds of party mix for a total of $37. to obtain the mixture, he will mix nuts that cost $3 per pound with pretzels that cost $1 per pound. how many poun

Question 853445: dave wants to purchase 25 pounds of party mix for a total of $37. to obtain the mixture, he will mix nuts that cost $3 per pound with pretzels that cost $1 per pound. how many pounds of each type and mix should he use?

Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
This is also a mixture problem.

Account for cost and account for pounds of foods.

COST: n for nuts, p for pretzels, or simply .

POUNDS: .

Obviously more easily viewed as a linear system problem. Two equations in the two unknowns p and n. Elimination Method here can be done mentally, at least for finding n.
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meaning , therefore .

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More formally, coefficients on p in both equations are 1.

therefore
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