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Mathematics 7 Online
OpenStudy (anonymous):

How many millimeters of water would you add to 75 mL of a 15% acid solution to make a 10% acid solution?

OpenStudy (anonymous):

|dw:1376264544906:dw|

OpenStudy (anonymous):

50 more needs to be added.

OpenStudy (anonymous):

Thanks for the help @Ellews

OpenStudy (noelgreco):

I don't agree. The amount of acid remains the same in the two solutions, so\[.15(75)=.10(75 + x)\]

OpenStudy (anonymous):

Then what would you say is the correct answer? @NoelGreco

OpenStudy (anonymous):

37.5 ;)

OpenStudy (anonymous):

no but seriously he has a point

OpenStudy (anonymous):

i forgot to consider the fact that the amount of acid does not change. so .15(75ml)=.10(75+x) the amount of extra would be 37.5mL :) thanks @NoelGreco

OpenStudy (anonymous):

Alright so thank you both, @Ellews and @NoelGreco

OpenStudy (anonymous):

But just a question, what would the equation look like if you reverse the whole problem into knowing the amount of acid added but not the original percentage?

OpenStudy (anonymous):

15 percent of 75 =11.25 so "11.25 ml of acid"

OpenStudy (anonymous):

If 3 qt of antifreeze are added to 9 qt of a 40% antifreeze solution, what is the concentration of antifreeze in the new solution? There, an example problem. How would the equation look like for this problem?

OpenStudy (noelgreco):

I do these mixing problems this way |dw:1376265855823:dw| The amount of antifreeze has to be the same on both sides.

OpenStudy (anonymous):

So x is the concentration of antifreeze in the new solution?

OpenStudy (noelgreco):

Yes. In these problems water is most often the solvent. You'll never be asked, "What's the concentration of water?" You must follow the solute (acid, antifreeze) and make your equation.

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