Question

Everyone will have juice in party and you have 10 liters of a juice blend (mixture of

pure juice and water) that is 60% pure juice.
1. How many liters of pure juice need to be added in order to make a blend that is 75% juice?
2. How many liters of pure juíce need to be added in order to make a blend that is 90% juice?

Answer 1

Answer: you added 6 liters of juice

Explanation:

You have 10 liters of a juice blend that is 60% juice. How many liters of pure juice need to be added in order to make a blend that is 75% juice?

Ten liters of a juice blend at 60% juice means you also have ten liters of a juice blend at 40% water. 10 x .40 yields 4 liters of water in your blend.

A juice blend of 75% has a water content of 25%. So the same 4 liters of water must represent 25% of the blend after adding more juice.

4/.25 = 16 liters. 16 x .75 = 12.

12 + 4 = 16.

That means after adding your juice you will have 16 liters of blend at 75% juice.

You originally had 10 liters at 60% and now you have 16 liters at 75% . Subtracting 10 from 16 means you added 6 liters of juice.