Answer is: 414 pounds of red fescue and 138 pounds of chewings fescue is needed to produce 552 pounds of mixture.
Explanation:
x - how much of red fescue is needed for one pound of mixture
y - how much of chewings fescue is needed for one pound of mixturex12+ y16 = 15x + y = 1
so, x=1-y
putting it into first line:(1-y)12 + y16 = 15
12 - 12y + 16y = 15
4y = 3
y=3/4
so, x= 1-3/4; x=1/4So to produce 552 pounds of mixture we need..To produce 1 pound of mixture we need: 3/4 pound of red fescue and 1/4 pound of chewing fescue so to produce 552 pounds of miture we need:
5523/4 - red fescue, which is 414 pounds needed
and
552/4 - chewings fescue, which is 138 pounds needed
