Milo wants to make a mixture that is 50% lemon juice and 50% lime juice.

Question

Milo wants to make a mixture that is 50% lemon juice and 50% lime juice.

How much 100% lemon juice should he add to a juice mixture that is 20% lemon juice and 80% lime juice to make 4 gallons of the 50% lemon/50% lime juice mixture?

Answer 1

Of course the AI can't do this simple problem correctly.

100% lemon juice to be added ---- x gallons

We don't have the original amount, so no actual answer can be found
The AI somehow assumed we had 2 gallons to start with, ok let's go
with that.

using lemon juice property .....

.2(2) + x = .5(2+x)
.4 + x = 1 + x/2
.8 + 2x = 2 + x
x = 1.2

check if lime juice works
.8(2) + 0 = .5(2+1.2) ??
LS = 1.6
RS = .5(3.2) = 1.6 = LS

My answer if right, the bot is wrong

Answer 2

Milo should add 2 gallons of 100% lemon juice to the juice mixture that is 20% lemon juice and 80% lime juice to make 4 gallons of the 50% lemon/50% lime juice mixture.