SOLUTION: How much water should be added to 32 ounces of a 30% solution of alcohol to dilute it to a 16% solution? Formula to develop the problem

Question 255434: How much water should be added to 32 ounces of a 30% solution of alcohol to dilute it to a 16% solution?
Formula to develop the problem
Found 2 solutions by ankor@dixie-net.com, amalm06:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
How much water should be added to 32 ounces of a 30% solution of alcohol to dilute it to a 16% solution?
Formula to develop the problem
:
Let x = amt of water
:
.30(32) = .16(32+x)
9.6 = 5.12 + .16x
9.6 - 5.12 = .16x
4.48 = .16x
x =
x = 28 oz of water
Answer by amalm06(224) (Show Source): You can put this solution on YOUR website!
Many of the "add water" questions can be solved in one step. It is important to know the longer method, but the shorter method is useful as a check and for standardized exams.

Longer method: (0.30)(32)+ 0= (32+x)(0.16)

Solve for x to get the amount of water.

Shorter method: (14/16)(32)= 28 oz of water (Answer)
RELATED QUESTIONS
How much water should be added to 38 ounces of a 25% solution of alcohol to dilute it to... (answered by richwmiller,amalm06,ikleyn)
How much water should be added to 26 ounces of a 27% solution of alcohol to dilute it to (answered by jorel1380)
How much water should be added to 20 ounces of a 15% solution of alcohol to dilute it to... (answered by Earlsdon,amalm06,ikleyn)
how many ounces of water should be added to 24 ounces of an alcohol/ water solution... (answered by josmiceli)
how much water must be added to 80 ml of 30% alcohol solution to dilute it to a 30%... (answered by macston)
How much water must be added to 20 gallons of a solution that is 30% alcohol to dilute it (answered by ewatrrr)
How much water should be added to 6 liters of 30% acid solution to dilute it to a... (answered by Alan3354,Boreal,natolino_2017)
How many quarts of water must be added to 18 quarts of 32% alcohol solution to dilute it... (answered by ankor@dixie-net.com)
a solution contains 4% salt. how much pure water should be added to 30 oz of the solution (answered by Mathtut)