SOLUTION: two identical bottles are filled with an alcahol solution the first bottle alchohol to water ratio is 3:1 the second alchahol to water ratio is 4:1 you mix the bottles together, wh

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: two identical bottles are filled with an alcahol solution the first bottle alchohol to water ratio is 3:1 the second alchahol to water ratio is 4:1 you mix the bottles together, wh      Log On


   

Question 1164169: two identical bottles are filled with an alcahol solution the first bottle alchohol to water ratio is 3:1 the second alchahol to water ratio is 4:1 you mix the bottles together, what is the alchahol to water ratio now?
Found 2 solutions by ikleyn, Alan3354:
Answer by ikleyn(52879) About Me  (Show Source):
You can put this solution on YOUR website!
.

There are 3/4 of the bottle volume of the pure alcohol and 1/4 of the bottle volume of water in the 1-st bottle.


There are 4/5 of the bottle volume of the pure alcohol and 1/5 of the bottle volume of water in the 2-nd bottle.



So, the total volume of the pure alcohol is  3%2F4 + 4%2F5 = 15%2F20+%2B+16%2F20 = 31%2F20 of the bottle volume.


    The total volume of water is  1%2F4 + 1%2F5 = 5%2F20+%2B+4%2F20 = 9%2F20 of the bottle volume.



The ratio alcohol to water volumes in the mixture is thus  31%2F9.    ANSWER

Solved.



Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
alcahol [sic]
It's alcohol.