SOLUTION: keil is going to make 14 pounds of mixed nuts for a party. Peanuts cost 3.50 per pound and cashews cost 7.50 per pound. If Keil can spend 81.00$ on nuts, how many pounds of each s

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Question 418731: keil is going to make 14 pounds of mixed nuts for a party. Peanuts cost 3.50 per pound and cashews cost 7.50 per pound. If Keil can spend 81.00$ on nuts, how many pounds of each should he buy?
Answer by MRperkins(300) About Me  (Show Source):
You can put this solution on YOUR website!
I can work this one at http://vyew.com/room#/365877/algebra.com if you want or you can wait and I'll answer it shortly through here.
let x=pounds of peanuts
y=pounds of cashews
then x+y=14 since they have to add up to be 14 pounds.
3.50x+7.50y=81
Now solve using substitution or elimination. Substitution is likely easier in this case.
x=14-y
3.50(14-y)+7.50y=81
49-3.5y+7.5y=81
49+4y=81
4y=32
y=8 pounds
x+y=14
x+8=14
x=6 pounds
so he should buy 6 pounds of peanuts and 8 pounds of cashews.