# One canned juice drink is 20% orange juice; another is 10% orange juice. How many liters of each should be mixed together in order to get 10L that is 16% orange juice?

Jul 24, 2018

The volume of 10% is $= 6 L$ and the volume of 10% is $= 4 L$

#### Explanation:

Perform a material balance wrt orange juice

The total volume is $= 10 L$

Let the volume of 20% orange juice be $= v L$

Then,

The volume of 10% orange juice is $= \left(10 - v\right) L$

The final percentage is =16% orange juice

Therefore,

$\frac{20}{100} \cdot v + \frac{10}{100} \cdot \left(10 - v\right) = 10 \cdot \frac{16}{100}$

$20 v + 100 - 10 v = 160$

$10 v = 60$

$v = 6 L$