SOLUTION: A chemist has two different solutions. One has 50% alcohol and 50% water and the other has 75% alcohol and 25% water. How many liters of each should be mixed to obtain 8 liters of

Question 323585: A chemist has two different solutions. One has 50% alcohol and 50% water and the other has 75% alcohol and 25% water. How many liters of each should be mixed to obtain 8 liters of solution comprised of 60% alcohol and 40% water?
Found 2 solutions by mananth, modi.kk91:
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
One has 50% alcohol and 50% water
other has 75% alcohol and 25% water.
Mixture = 8 liters of solution 60% alcohol and 40% water?
..
let 50% alcohol required be x liters
75% acohol required will be 8-x liters
Total mixture = 8 liters 60%
..
0.5x+0.75(8-x)=8*0.6
0.5x+6-0.75x=4.8
-0.25x=-1.2
x= -1.2/ -0.25
x=4.8 liters 50% alcohol
75% alcohol required = 3.2 liters
Answer by modi.kk91(20) (Show Source): You can put this solution on YOUR website!
this solution is given by allegation rule

here only takes only alcohol solution
50% 75%

60%

75-6o=15 and 60-50=10
ratio=15:10=3:2===3x+2x=5x

ans=3*1.6=4.8
2*1.6=3.2
then 5x=8
x= 8/5=1.6
RELATED QUESTIONS
A chemist has two alcohol-in-water solutions, one 20% alcohol and the other 50%. She... (answered by nyc_function)
a chemist has two alcohol-in-water: a 20% alcohol solution and a 50% alcohol solution. He (answered by lwsshak3)
A chemist has one solution that is 25% alcohol and another that is 75% alcohol. How much... (answered by nerdybill,NSL1226)
A chemist has two alcohol solutions, one is 20% and one is 50% alcohol solution. He needs (answered by rwm,stanbon)
A chemist has two solutions, one is 30% alcohol, and the other is 90% alcohol. How much... (answered by nyc_function)
A chemist has two solutions, one is 30 percent alcohol, and the other is 90 percent... (answered by josgarithmetic)
a chemist has two alcohol solutions of different strengths, 30% alcohol and 45% alcohol... (answered by Alan3354)
A chemist has two alcohol solutions of different strengths, 30% alcohol and 45% alcohol... (answered by Theo,greenestamps,josgarithmetic)
a chemist needs 25 liters of a 10% alcohol solution but has only a 25% alcohol solution.... (answered by josgarithmetic,ikleyn)