# One canned juice drink is 20% orange juice; another is 5% orange juice. How many liters of each should be mixed together in order to get 15L that is 17% orange juice?

##### 1 Answer

#### Answer:

12 litres of the 20% drink, and 3 litres of the 5% drink

#### Explanation:

Let's say that

And that

From this we can write the first equation:

Next we can write an equation for the concentration:

Next we need to rearrange one to substitute in, and the first equation is probably easier to rearrange.

Take away y from both sides:

Then substitute in to the second equation for the x value:

Expand and simplify:

Then solve for

Then solve for

So 12 litres of the 20% drink, and 3 litres of the 5% drink.