Question

How many gallons of pure lemons juice be mixed with 4 gallons of 25% lemon juice to achieve a mixture which contains 40% lemon juice

Answer 1

you have 4 gallons of 25% juice, meaning one gallon of lemon juice total so far. and 4 gallons of mixture
if you put say "x" as the number of gallons of lemon juice added, then you will have \(4+x\) gallons of mixture and \(1+x\) gallons of lemon juice.
you want this \(1+x\) gallons of lemon juice to be 40% of the total of \(4+x\) so set
\[1+x=.4(4+x)\] and solve for x

Answer 2

good from there?

Answer 3

Yes thank you!