Question

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

Answer 1

`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]