SOLUTION: Keil is going to make 13 pounds of mixed nuts for a party. Peanuts cost $3.50 per pound and fancy nuts cost $7.50 per pound. If Keil can spend $85.50 on nuts, how many pounds of

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Question 127917: Keil is going to make 13 pounds of mixed nuts for a party. Peanuts cost $3.50 per pound and fancy nuts cost $7.50 per pound. If Keil can spend $85.50 on nuts, how many pounds of each should he buy?
Answer by mr.barrett(5) About Me  (Show Source):
You can put this solution on YOUR website!
The question is asking "how many pounds of each should she buy?" That tells us what our variables should be.


x=pounds of peanuts
y=pounds of fancy nuts


x + y = 13 (equation 1)
3.50x + 7.50y = 85.50 (equation 2)


Solve this system of equations. I'll do it by substitution here.
From equation 1, y = 13 - x.
By substitution into equation 2, 3.50x + 7.50(13 - x) = 85.50


Solving for x we get x=3.


Substitute 3 for x into equation 1 to solve for y, and y=13.