• anonymous
I recently took my math midterms, when I came across this problem that I always forget to do.. Just to ease my mind, I'd like someone to answer this question with work shown step by step. How many liters of 20% alcohol solution would you require to make a 70% alcohol solution into 60% alchohol?
  • Stacey Warren - Expert
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
  • jamiebookeater
I got my questions answered at in under 10 minutes. Go to now for free help!
  • phi
You do not get a definite answer unless you know how much of the 70% solution you start with. It takes much less of the 20% solution to dilute 1 liter than 100 liters. But if you say we will end up with 1 liter of the 60% alcohol solution we can do this: let x be the liters of 20% solution y 70% solution and x+y= 1 (we want to get a total of 1 liter when added together) the amount of alcohol in each solution is 0.2x + 0.7y = 0.6*1 or simplifying 2x+7y= 6 you now have two equations and two unknowns: 2x + 7y = 6 x + y =1 solve for x and y

Looking for something else?

Not the answer you are looking for? Search for more explanations.