Problema Solution
Ordinary salted peanuts cost $6 per lb. Premium (i.e. without peanuts) mixed nuts cost $18 per lb. Suppose a 24 oz. mixture of peanuts and premium mixed nuts costs $16.50. How much of the mixture is made up of peanuts?
Answer provided by our tutors
let
x = lbs of the peanuts used for the mixture
y = lbs of the premium mixed nuts used for the mixture
since 1 oz = 0.0625 lb for 24 oz we have:
24 oz = 24*0.0625 lb = 1.5 lb
x + y = 1.5
6x + 18y = 16.50*1.5
by solving the above system of equations we find:
x = 0.1875 lb
y = 1.3125 lb
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0.1875 lb of the mixture is made of peanuts.