SOLUTION: A Restaurant wants to purchase 40 pounds of party mix for a total of $100. They will mix nuts that cost $3 a pound, with pretzels that cost $2 a pound. How many pounds of each type

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Question 990751: A Restaurant wants to purchase 40 pounds of party mix for a total of $100. They will mix nuts that cost $3 a pound, with pretzels that cost $2 a pound. How many pounds of each type of mix should they use?
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39620) (Show Source):
You can put this solution on YOUR website!
Cost of the mix equals cost of the materials to buy.

n, how many pounds nuts;
p, how many pounds pretzels;

Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
Let = pounds of nuts needed
Let = pounds of pretzels needed
---------------
(1)
(2)
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Multiply both sides of (1) by and
subtract (1) from (2)
(2)
(1)
---------------------

and
(1)
(1)
(1)
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They used 20 pounds of nuts and
20 pounds of pretzels
----------------
check:
(2)
(2)
(2)