# Question #c4c19

##### 1 Answer

The question is has an error: I am assuming that the last % written should be 60%. It makes sense as this is the target concentration of the blend (2nd % mentioned)

#### Explanation:

Percentage of a percentage is a little tricky to get your head round.

If you have all of one solution then you have none of the other. This is also true the other way round.

So the two are linked and can be represented by considering just one of them. This can be plotted against the resulting mixture concentration as you change the amount of the one in you are focusing on.

I elect to observe the change in concentration as you increase the proportion of the stronger solution. Thus we have:

The slope for all is the same as the slope for part.

So the blend will be

and

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Check:

All as required

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So the proportion of

Let the final volume of the blend be

Thus the volume of the final blend is such that

Thus