SOLUTION: Give an example of a solution you could add to achieve the desired result. Then explain why that solution would work.: You have a 68% alcohol solution. You want to end up with a so

Question 370860: Give an example of a solution you could add to achieve the desired result. Then explain why that solution would work.: You have a 68% alcohol solution. You want to end up with a solution containing 50% alcohol.
Found 2 solutions by ankor@dixie-net.com, NaturalBornNerd:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
You have a 68% alcohol solution.
You want to end up with a solution containing 50% alcohol.
:
Add pure water, let w = amt of water, start with 10 liters of 68% solution
:
.68(10) = .50(w+10)
6.8 = .5w + 5
6.8 - .5 = .5w
1.8 = .5w
multiply both sides by 2
w = 3.6 liters of water added to 10 liters of 68% solution yields 13.6 liters of 50% solution
:
:
Check this, the amt of alcohol will remain the same; only the per cent changes
.68(10) = .5(13.6)
6.8 = 6.8
Answer by NaturalBornNerd(5) (Show Source): You can put this solution on YOUR website!
You need to add a certain amount of water, which we'll call 'w', in order to dilute your mixture down to 50% alcohol.
You know that the current mixture is 32% water by subtracting 68% alcohol from 100%,where 100% represents the total mixture.
w(the unknown amount of water you need to add)
0.32w (the amount of water in the current mixture)
w + 0.32w = 0.50
w =0.50 - 0.32
w = 0.18
You will need to add 18% more water to the current mixture to get a mixture with 50% alcohol.
RELATED QUESTIONS
what does it mean for a number to be the "solution" to an equation? please give me an... (answered by solver91311)
Pleaaaase help i really need some one to properly walk through this all. Thank you soooo... (answered by josgarithmetic)
The variables height and weight could reasonably be expected to have a positive linear... (answered by stanbon)
Please explain? Give an example of a rational equation for which there is an actual... (answered by rwm,solver91311)
Rohan mixed a 20% acid solution with an 80% acids solution to obtain 120 liters of a... (answered by ikleyn,Alan3354)
This does not have anything to do with algebra but it is driving me nuts trying to figure (answered by ikleyn)
You plan to work for 40 years and then retire using a 25-year annuity. You want to... (answered by Theo)
Tell if the given situation is possible or not possible; then explain why or why not.:You (answered by ankor@dixie-net.com)
formula for measuring sound in decibals? pick a sound give decibals of the sound, and... (answered by stanbon)