Problema Solution
A grocer wants to mix two kinds of nuts. One kind sells for $1.60 per pound, and the other sells for $2.65 per pound. He wants to mix a total of 19 pounds and sell it for $2.15 per pound. How many pounds of each kind should he use in the new mix?
Answer provided by our tutors
let
x = lbs of the $1.60 per pound kind of nuts
y = lbs of the $2.65 per pound kind of nuts
He wants to mix a total of 19 pounds:
x + y = 19
he wants to sell the mix for $2.15 per pound:
1.60x + 2.65y = 2.15*19
by solving the system of equations:
x + y = 19
1.60x + 2.65y = 2.15*19
we find:
x = 9.05 lbs
y = 9.95 lbs
click here to see the step by step solution of the system of equations:
the grocer should use 9.05 lbs of the $1.60 per pound nuts and 9.95 lbs of the $2.65 per pound nuts.