Problema Solution
A store mixes Kentucky bluegrass worth $12 per pound and chewsing fescue worth $16
per pound. The mixture is to sell for $13 per pound.Find how much of each should be used to make a 444- pound mixture.
How many pounds of the Kentucky bluegrass should be in the mix?
Answer provided by our tutors
let
x = lbs of Kentucky bluegrass
y = lbs of chewsing fescue
the mixture is 444 lbs means:
x + y = 444
the mixture is to sell for $13 per pound:
12x + 16y = 13*444 divid eboth sides by 4
3x + 4y = 13*111
by solving the system of equations:
x + y = 444
3x + 4y = 13*111
we find:
x = 333 lbs
y = 111 lbs
click here to see the step by step solution of the system of equations:
333 pounds of Kentucky bluegrass should be in the mix.
111 pound of chewsing fescue should be in the mix.