SOLUTION: You need a 55% alcohol solution. On hand, you have a 30 mL of a 35% alcohol mixture. You also have 60% alcohol mixture. How much of the 60% mixture will you need to add to obtain t

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: You need a 55% alcohol solution. On hand, you have a 30 mL of a 35% alcohol mixture. You also have 60% alcohol mixture. How much of the 60% mixture will you need to add to obtain t      Log On

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Question 995210: You need a 55% alcohol solution. On hand, you have a 30 mL of a 35% alcohol mixture. You also have 60% alcohol mixture. How much of the 60% mixture will you need to add to obtain the desired solution?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Let v be the amount of volume of the 60% alcohol to add. You already know how much volume of the 35% alcohol you will use. Using v as assigned, the final volume of the solution result will be v+30 milliliters.

The numerator in the following expression is the amount of alcohol multiplied by 100, and the denominator is the amount of volume of final solution.

highlight_green%28%2860v%2B35%2A30%29%2F%28v%2B35%29=55%29
Solve for v.