SOLUTION: A dairy wishes to mix 1,000 pounds of milk containing 8% butterfat. If the mixture is to be made from milk containing 5% butterfat and cream containing 20% butterfat, how many poun

Question 910200: A dairy wishes to mix 1,000 pounds of milk containing 8% butterfat. If the mixture is to be made from milk containing 5% butterfat and cream containing 20% butterfat, how many pounds of each is needed?
Found 2 solutions by richwmiller, josgarithmetic:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!

a+b=1000,
0.05*a+0.2*b=0.08*1000
a=1000-b
0.05*(1000-b)+0.2*b=80
50-0.05b+0.2*b=80
0.15*b=30
b=200
a=1000-b
a=800 lb. at 5%
b=200 lb. at 20%
check
0.05*800+0.2*200=0.08*1000
40+40=80
80=80
ok
codemx1

Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
The question of one of these kind:

http://www.algebra.com/my/Mixtures%3A-All-in-Symbols.lesson?content_action=show_dev
RELATED QUESTIONS
A dairy wishes to mix together 1,000 pints of milk that contains 8% butterfat. If the... (answered by TimothyLamb)
A dairy needs 225 gallons of milk containing 5% butterfat. How many gallons each of milk... (answered by josgarithmetic,josmiceli)
A dairy needs 260 gallons of milk containing 7% butterfat. How many gallons each of milk... (answered by josmiceli)
a dairy needs 288 gallons of milk containing 7% butterfat. how many gallons each of milk... (answered by josgarithmetic)
A dairy needs 246 gallons of milk containing 5% butterfat. How many gallons each of milk... (answered by ptaylor)
A dairy needs 235 gallons of milk containing 5% butterfat. How many gallons each of milk... (answered by jorel555)
A dairy needs 244 gallons of milk containing 7% butterfat. How many gallons each each of... (answered by greenestamps)
To make low-fat cottage cheese, milk containing 4% butterfat is mixed with 12 gallons of... (answered by TimothyLamb)
A dairy farmer wishes to obtain 200 gallons of milk that is 3.8% butterfat by mixing... (answered by richwmiller)