SOLUTION: How much of a 50% alcohol solution should we mix with 10 gallons of a 35% solution to get a 40% solution?

SOLUTION: How much of a 50% alcohol solution should we mix with 10 gallons of a 35% solution to get a 40% solution?

Algebra.Com

Question 460215: How much of a 50% alcohol solution should we mix with 10 gallons of a 35% solution to get a 40% solution?
Answer by checkley79(3341) (Show Source): You can put this solution on YOUR website!
.50x+.35*10=.40(10+x)
.50x+3.5=4+.40x
.50x-.40x=4-3.5
.10x=.5
x=.5/.10
x=5 gallons of 50% are required,
Proof:
.50*5+.35*10=.40(10+5)
2.5+3.5=.4*15
6=6

RELATED QUESTIONS
A farmer has a 10% insecticide solution and a 50% solution. How much of each should he... (answered by checkley77)

"How many gallons of a 25% alcohol solution must be mixed with 10 gallons of a 50%... (answered by Alan3354)

A chemist needs to mix 40% solution with a 70% solution to obtain 12 gallons of a 50%... (answered by josgarithmetic)

Mix 20% alcohol solution with some 45% alcohol. How much of each solution should be used... (answered by josgarithmetic)

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

Mix a solution that is 40% alcohol with a solution that is 10% alcohol to make 225 mL of... (answered by rwm)

How many gallons of a 25% alcohol solution must be mixed with 20 gallons of a 50% alcohol (answered by josmiceli)

We have 10 gallons of a 26% alcohol solution and we need 15 gallons of an 18% alcohol... (answered by Alan3354)

How much pure alcohol should we add to 6 gallons of 10% acid solution to obtain a... (answered by josgarithmetic)