Problema Solution
1. The Divine Chocolate Candy store wants to make a new treat consisting of milk chocolate and hazelnuts. They want to make a 12 pound box that sells for $8 per pound. If hazelnuts sell for $9 per pound and chocolate sells for $3 per pound, how pounds of each must they mix to get their desired product?
Answer provided by our tutors
let
h = lbs of the hazelnuts, h>0
c = lbs of the chocolate, c>0
they want to make a 12 pound box that sells for $8 per pound
h + c = 8
9h + 3c = 8*12
by solving the above system of equations we find
h = 12 lbs
c = -4 lbs
click here to see the step by step solution of the system of equations
since we got negative solution for c and c must be positive follows the problem has no solution.