# How many liters of a 60% sugar solution should be added to 40 liters of a 30% sugar solution to produce a 50% sugar solution?

##### 1 Answer

Jun 12, 2018

#### Explanation:

Let the amount of 60% solution be

Let the amount of 30% solution be

Let the amount of 50% solution be

So for this to balance we have:

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Check:

Note that

Consequently you are doing the equivalent of multiplying by 1 when you write: