Problema Solution
Chocolates costing $8 per pound are to be mixed with chocolates costing $3 per pound to make a 20 pound mixture. If the mixture is to sell for $5 per pound, how many pounds of each chocolate should be used?
Which of the following equations could be used to solve the problem?
Answer provided by our tutors
let
x = the lbs of the $8 chocolate
y = the lbs of the $3 chocolate
the total mixture weights 20 lbs thus we can write
x + y = 20
the cost of x lbs of the $8 chocolate + the cost of y lbs of the $3 chocolate = 20 lbs chocolate by the price of $5 per pound
8*x + 3*y = 5*20
by solving the system of equations
x + y = 20
8*x + 3*y = 5*20
we find
x = 8 lbs
y = 12 lbs
we should use 8 lbs of the $8 chocolate and 12 lbs of the $3 chocolate.