Question 188107
Well, you got off to a good start with:
1) x+y = 50
2) 3.50x+1.70y = 2.96(50)
Now rewrite equation 1) as: x = 50-y and substitute this for x in equation 2).
2a) 3.50(50-y)+1.70y = 2.96(50) Simplfy this.
2b) 175-3.50y+1.70y = 148
2c) 175-1.8y = 148 Subtract 175 from both sides.
-1.8y = -27 Divide both sides by -1.8
y = 15 and...
x = 50-y
x = 50-15
x = 35
So, Mr. Ramirez needs to mix 35 lbs of Bluegrass seed @ $3.50 per lb. with 15 lbs of Fescue seed @ $1.70 per lb. to obtain 50 lbs of the mixture @ $2.96 per lb.