SOLUTION: A dairyman has milk which contains 4% butterfat and cream which contains 40% butterfat. How many gallons of each should he use in order to produce 36 gallons of a mixture which con

Click here to see ALL problems on Percentage-and-ratio-word-problems

Question 1010909: A dairyman has milk which contains 4% butterfat and cream which contains 40% butterfat. How many gallons of each should he use in order to produce 36 gallons of a mixture which contains 20% butterfat?
Found 2 solutions by lwsshak3, josmiceli:
Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website!
A dairyman has milk which contains 4% butterfat and cream which contains 40% butterfat. How many gallons of each should he use in order to produce 36 gallons of a mixture which contains 20% butterfat?
let x=amt of 4% butterfat used in th mixture
36-x=amt of 40% butterfat used in th mixture
4%x+40%(36-x)=20%*36
.04x+14.4-.4x=7.2
.36x=7.2
x=20
36-20=16
amt of 4% butterfat used in th mixture= 20 gal
amt of 40% butterfat used in th mixture= 16 gal

Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
Let = gallons of milk with 4% butterfat
Let = gallons of cream with 40% butterfat
-----------------------------------------
(1)
(2)
---------------------------
(2)
(2)
Multiply both sides of (1) by and
subtract (1) from (2)
(2)
(1)
------------------------

and
(1)
(1)
-------------------
20 gallons of milk with 4% butterfat
16 gallons of cream with 40% butterfat
-------------------
check:
(2)
(2)
(2)
(2)
(2)
OK