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Mathematics 20 Online
OpenStudy (anonymous):

how many ml of a 50 acid solution and how many ML of 20% acid solution must be mixed to produce 36ml of a 30% acid solution

OpenStudy (owlfred):

Do you have any ideas about how we start with this question?

OpenStudy (anonymous):

none at all

OpenStudy (owlfred):

OK. Suppose that the volume of the 50% acid solution is \(x\) and the volume of 20% acid solution is \(y\). When we mix these two solutions, we get a 36 ml solution. Therefore, the sum of volumes of those two solutions must be 36. In math lingo, it's \(x+y = 36.\) That's our first equation.

OpenStudy (anonymous):

okay

OpenStudy (anonymous):

so you substitute the other vlues for x and y?

OpenStudy (owlfred):

Now, 50% of the volume of the 50% acid solution is pure acid. And 20% of the volume of the 20% acid solution is pure acid. Also, when you mix those, you get 30% of 36 ml pure acid.

OpenStudy (anonymous):

okay thank you i think i got it from this point.

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