Problema Solution
The Modern Grocery has cashews that sell for $4.75 a pound and peanuts that sell for $2.25 a pound. How much of each must Albert, the grocer, mix to get 100 pounds of mixture that he can sell for $3.00 per pound?
Answer provided by our tutors
let
c = lbs of cashews needed for the mix
p = lbs of peanuts needed for the mix
the mix is 100 pounds thus
c + p = 100
100 pounds of mixture by cost of $3.00 per pound
4.75c + 2.25p = 100*3
by solving the system of equations
c + p = 100
4.75c + 2.25p = 100*3
we find
c = 30 lbs
p = 70 lbs
click here to see the step by step solution of the system of equations
30 pounds of cashews and 70 pounds of peanuts are needed for the mix.