SOLUTION: a solution containing 40% alcohol is to be mixed with a solution containing 75% alcohol. How much of each solution should be used to make 100 mL of a mixture that is 50% alcohol?

Algebra.Com
Question 354728: a solution containing 40% alcohol is to be mixed with a solution containing 75% alcohol. How much of each solution should be used to make 100 mL of a mixture that is 50% alcohol?
Answer by checkley77(12844)   (Show Source): You can put this solution on YOUR website!
.75X+.40(100-X)=.50*100
.75X+40-.40X=50
.35X=50-40
.35X=10
X=10/.35
X=28.57 ML. OF 75% SOLUTION.
100-28.57=71.43 ML. OF 40% SOLUTION.
PROOF:
.75*28.57+40*71.43=.50*100
21.43+28.57=50
50=50

RELATED QUESTIONS

A solution containing 12% alcohol is to be mixed with a solution containing 4% alcohol... (answered by stanbon)
A solution containing 30% alcohol is to be mixed with a solution containing 50% alcohol... (answered by stanbon)
One solution contains 30% alcohol and a second solution contains 70% alcohol. How many... (answered by Alan3354)
A solution containing 12% alcohol is to be mixed with a solution containing 4% alcohol to (answered by Alan3354)
One solution containing 18% alcohol is mixed with another solution containing 72% alcohol (answered by josgarithmetic)
One solution containing 20% alcohol is mixed with another solution containing 60% alcohol (answered by Edwin McCravy)
A chemist has two solutions: one containing 40% alcohol and another containing 70%... (answered by nerdybill)
One solution contains 40% alcohol and another contains 72% alcohol. How much of each... (answered by fractalier)
How much of a 40% alcohol solution must be mixed with 50 gallons of an 18% alcohol... (answered by richwmiller)