How many gallons of 4% milk should you mix with 1% milk to make 10 gallons of 3% milk?

1 Answer
Apr 17, 2018

Answer:

# 6 2/3# gallons of #4%# milk to be mixed with #3 1/3# gallons of #1%# milk to make #10# gallons of #3%# milk.

Explanation:

Let #x# gallons of #4%# milk is mixed with #(10-x)# gallons of

#1%# milk to make #10# gallons of #3%# milk.

Equating milk content , we get ,

# x*0.04+(10-x)*0.01=10*0.03# . Multiplying by #100# on

both sides we get , # 4 x +10-x = 30 or 3 x = 20 #

#:. x= 20/3 =6 2/3 :. 10 -x= 10-20/3=10/3= 3 1/3# Hence,

# 6 2/3# gallons of #4%# milk is mixed with #3 1/3# gallons of

#1%# milk to make #10# gallons of #3%# milk. [Ans]