SOLUTION: A chemist wants to get 120 mL, of a 87% solution. If she has to make it by mixing a 80% solution and a 92% solution, how much of each should she use? I have x=80% solution and

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Question 918513: A chemist wants to get 120 mL, of a 87% solution. If she has to make it by mixing a 80% solution and a 92% solution, how much of each should she use?
I have x=80% solution and y- 92% solution.
The last question our instructor used was: A chemist has to prepare a large amount of 35% acid solution for an experiment. He has 37 L of 60% solution to combine with some amount of 25% solution. How much 25% solution should he use, and how much 35% solution will that allow him to create?
I had x=Litres of 25% solution which was 92.50; and y= Litres of 35% solution and i got 129.5!
So I am at a loss as how to solve this equation

Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
The units in volumes and percents, no other information used, these need to use percents as either weight per volume
or as volume per volume.

The first question about how much of the two solutions is throughly discussed in this lesson:
http://www.algebra.com/my/Mixtures%3A-All-in-Symbols.lesson?content_action=show_dev
http://www.algebra.com/my/Mixtures%3A-All-in-Symbols.lesson?content_action=show_dev

The "last" question about how much of one material when the other material quantity is known'
is thoroughly discussed in this lesson:
http://www.algebra.com/my/Two-Part-Mixture-with-one-material-quantity-unknown.lesson?content_action=show_dev
http://www.algebra.com/my/Two-Part-Mixture-with-one-material-quantity-unknown.lesson?content_action=show_dev

Those lessons each also include the general solutions and the formulas for those general solutions.

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