Problema Solution

Walnuts sell for 10 dollars per pound and pecans for 18 dollars per pound. How much of each type of nut would produce 40 pounds of a mix that sells for 15 dollars per pound?

Answer provided by our tutors

Walnuts : W

Pecans : P

Now , W = 10 $ / pound

P = 18 $ / pound

So, now, we wnat 15 dollars per pound, so, 

we will have total 40*15 = 600 dollars.

so, 10 W + 18 P = 600(i)

and, W + P = 40,(ii)

=> 10 W + 10 P = 400,


=> 8 P = 200 ( from (i) and (ii) )

so, P = 25,  and W = 40 - P = 40 - 25 = 15 ( from (ii) )