SOLUTION: Please help me solve this Question : A certain amount of alcohol with a concentration of 90% was mixed with an amount of alcohol smaller by 20 liters and having a concentratio

Question 551217: Please help me solve this Question :
A certain amount of alcohol with a concentration of 90%
was mixed with an amount of alcohol smaller by 20 liters
and having a concentration of 30%. Afterward, 15 liters of
water evaporated from the mixture and the concentration of
the alcohol was 72%. How many liters of alcohol of 72%
concentration were formed?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A certain amount of alcohol with a concentration of 90%
was mixed with an amount of alcohol smaller by 20 liters
and having a concentration of 30%. Afterward, 15 liters of
water evaporated from the mixture and the concentration of
the alcohol was 72%. How many liters of alcohol of 72%
concentration were formed?
**
let x=liters of 90% alcohol
x-20=liters of 30% alcohol
15=liters evaporated
(x+(x-20)-15)=(2x-35) liters of 72% concentration
..
.9x+.3(x-20)=.72(2x-35)
.9x+.3x-6=.72(2x-35)=1.44x-25.2
.24x=19.2
x=19.2/.24
x=80
2x-35=125
ans:
liters of alcohol of 72% concentration were formed=125 liters
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