How many liters of each type do you need to make exactly 6 liters of 80% juice?

Question

You are making 6 liters of 80% juice. You have two types of juice: one is 100% pure juice, and the other is diluted juice with an 80% concentration.

Incredibox

Answer 1

"You are making 6 liters of 80% juice. You have two types of juice: one is 100% pure juice, and the other is diluted juice with an 80% concentration."

"How many liters of each type do you need to make exactly 6 liters of 80% juice?"

The easy way to do a problem like this is to think about how much pure 100% juice you are using.

BUT: This problem has a big problem: If we add ANY 100% just to 80% juice then we will get juice with MORE than an 80% concentration!

That means, the way this problem is worded, that we can only use 80% juices

Therefore we will make 6 liters of 80% juice out of .... 6 liters of 80% Juice!

----------Now Fixing the Problem------------

Let's say instead we have 100% juice and 60% juice

(100% + 60% )/ 2 = 80%

So one liter of each will make 2 liters of 80%

Altogether we just need 3 liters of each to make 6 of 80% juice.