SOLUTION: Organic whole-wheat flour sells for $2.19/kg. Organic barley flour sells for $1.89/kg. What mass of each type of flour should be included in 20kg of a blend that sells for $1.99/kg

Algebra ->  Equations -> SOLUTION: Organic whole-wheat flour sells for $2.19/kg. Organic barley flour sells for $1.89/kg. What mass of each type of flour should be included in 20kg of a blend that sells for $1.99/kg      Log On


   

Question 138848: Organic whole-wheat flour sells for $2.19/kg. Organic barley flour sells for $1.89/kg. What mass of each type of flour should be included in 20kg of a blend that sells for $1.99/kg ?
Found 2 solutions by checkley77, josmiceli:
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
2.19x+1.89(20-x)=20*1.99
2.19x+37.8-1.89x=39.8
.3x=39.8-37.8
.3x=2
x=2/.3
x=6.67 kg. of $2.19 wheat flour.
20-6.67=13.33 kg. of $1.89 barley flour.
proof:
2.19*6.67+1.89*13.33=39.8
14.6+25.2=39.8
39.8=39.8


Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let w= mass of whole wheat flour
Let b= mass of organic barley flour
w+%2B+b++=+20 kg
b+=+20+-+w
%282.19w+%2B+1.89b%29+%2F+20+=+1.99
2.19w+%2B+1.89b+=+20%2A1.99
2.19w+%2B+1.89%2A%2820+-+w%29+=+39.8
2.19w+%2B+37.8+-+1.89w+=+39.8
.3w+=+2
w+=+6.67
b+=+20+-+6.67
b+=+13.33
6.667 kg of the whole wheat anfd 13.333 kg of the barley are needed
check:
2.19%2A6.67+%2B+1.89%2A13.33%29+%2F+20+=+1.99
%2814.6+%2B+25.2%29+%2F20+=+1.99
39.8+%2F+20+=+1.99
1.99+=+1.99