SOLUTION: a solution whose volume is 80 litres is made up of 40% of water and 60% of alcohol, when x litres of water are added, the percentage of alcohol drops to 40% a) find the value of

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: a solution whose volume is 80 litres is made up of 40% of water and 60% of alcohol, when x litres of water are added, the percentage of alcohol drops to 40% a) find the value of       Log On


   



Question 1101891: a solution whose volume is 80 litres is made up of 40% of water and 60% of alcohol, when x litres of water are added, the percentage of alcohol drops to 40%
a) find the value of x
b)30 litres of water is added to the new solution.calculate the percentage of alcohol in the resulting solution.
c)if 5 litres of solution in (b) above is added to 2 litres of the original solution. calculate in the simplest form, the ration of water to that of alcohol in the resulting solution.

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Just part (a):

Adding the water does not change AMOUNT of alcohol.

0.6%2A80%2F%28x%2B80%29=0.4
-
0.6%2A80=0.4%28x%2B80%29
%283%2F2%29%2880%29=x%2B80
%283%2F2%29%2880%29-80=x
x=80%283%2F2-1%29
highlight%28x=40%29-------liters of water to add