SOLUTION: A chemist is mixing a solution that is 2% acid and another solution that is 8% acid. She needs to make 75 ML of a solution that is 5% acid. How much of each solution should she use

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: A chemist is mixing a solution that is 2% acid and another solution that is 8% acid. She needs to make 75 ML of a solution that is 5% acid. How much of each solution should she use      Log On

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Question 718946: A chemist is mixing a solution that is 2% acid and another solution that is 8% acid. She needs to make 75 ML of a solution that is 5% acid. How much of each solution should she use?
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Plugging in the values rightaway, you have these as a system to solve:

%282x%2B8y%29%2F75=5 and x%2By=75, where x is volume of the 2% solution and y is the volume of the 8% solution.

A few ways to start the rest of the solution process but one way is y=75-x, then do 2x%2B8%2875-x%29=5%2A75
2x%2B8%2A75-8x=5%2A75
8%2A75=-2x%2B8x%2B5%2A75
8%2A75-5%2A75=6x
.
Can you continue from here?