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

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) (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) (Show Source): You can put this solution on YOUR website!
Let = mass of whole wheat flour
Let = mass of organic barley flour
kg

6.667 kg of the whole wheat anfd 13.333 kg of the barley are needed
check:

RELATED QUESTIONS
Jan mixes 1 1/3 cups of white flour, 1 3/4 cup of whole wheat flour, and 2/3 cup of rye... (answered by richwmiller)
A restaurant ordered 3 bags of flour. Each bag weighs 4 2/5 kg. The restaurant used 2 1/4 (answered by josgarithmetic,math_tutor2020)
a bakery makes a special whole-grain bread using two kinds of flour. whole wheat and rye. (answered by stanbon)
Lily went shopping with Alan. Lily spent $11.20 for 3.60 kg flour and 1 kg sugar. Alan... (answered by josmiceli)
A whole chicken sells for $7.06 and has a mass of 1.5 kg. A beef shank sells for $10.00... (answered by RAY100,stanbon)
A baker purchased 11 lb of wheat flour and 13 lb of rye flour for a total cost of $19.65. (answered by josgarithmetic)
A baker purchased 10 lb of wheat flour and 15 lb of rye flour for a total cost of $19.25. (answered by josgarithmetic)
A biscuit manufacturer uses 200 grams of flour, 50 grams of sugar and 100 grams of butter (answered by ikleyn)
flour sells for $1.35/oz and thyme sells for $1.85/oz. how much of each for 20/oz that... (answered by richwmiller)