SOLUTION: How much 151 Rum, which is 75.5% alcohol needs to be mixed with Rum 80, which is 40% alcohol to obtain a 1000ml 65% alcohol solution?

Question 198342: How much 151 Rum, which is 75.5% alcohol needs to be mixed with Rum 80, which is 40% alcohol to obtain a 1000ml 65% alcohol solution?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
How much 151 Rum, which is 75.5% alcohol needs to be mixed with Rum 80, which is 40% alcohol to obtain a 1000ml 65% alcohol solution?
----------------------------------------------------
Equation:
alcohol + alcohol = alcohol
0.755x + 0.40(1000-x) = 0.65(1000)
Multiply thru by 1000
755x + 400*1000-400x = 650*1000
355x = 250000
x = 704.23 ml (amt. of 75.5% alcohol in the mixture)
----------------
1000-x = 285.77 ml (amt. of 40% alcohol in the mixture)
===========================================================
Cheers,
Stan H.
RELATED QUESTIONS
A bartender has rum that is 40% alcohol. How much rum and how much cola need to be mixed (answered by stanbon)

How many liters of alcohol must be added to 40 liters of a mixture which is 65% alcohol... (answered by ewatrrr)

Julia's punch recipe calls for a 3:1 ration of Puerto rican rum (40% alcohol) to Jamaican (answered by Edwin McCravy)

how many liters of alcohol must be added to 40 liters of a mixture which is 65% alcohol... (answered by ewatrrr)

How much of a 80% alcohol solution must be mixed with 60 gallons of a 24% alcohol... (answered by checkley71)

How many liters of 80% alcohol must be mixed with 40 liters of 70% alcohol to produce a... (answered by ptaylor)

How many liters of 80% alcohol must be mixed with 40 liters of 70% alcohol to produce a... (answered by scott8148)

How much of a 40% alcohol solution must be mixed with 50 gallons of an 18% alcohol... (answered by richwmiller)

A pharmacists needs to obtain a 70% alcohol solution. How many ounces of a 30% alcohol... (answered by checkley71,Paul)