SOLUTION: how many litres of a 68% alcohol solution must be added to 54 litres of a 38% alcohol solution to produce a 53% alcohol solution?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: how many litres of a 68% alcohol solution must be added to 54 litres of a 38% alcohol solution to produce a 53% alcohol solution?       Log On


   

Question 1149169: how many litres of a 68% alcohol solution must be added to 54 litres of a 38% alcohol solution to produce a 53% alcohol solution?
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
how many litres of a 68% alcohol solution must be added to 54 litres of a 38% alcohol solution to produce a 53% alcohol solution?
--------------
Add L liters
54*38 + L*68 = (54+L)*53

Answer by ikleyn(52867) About Me  (Show Source):
You can put this solution on YOUR website!
.

Notice that 53% is exactly half-way between 38% and 68%.


Therefore, as any house-wife will answer you (without solving any equation), you need use 54 liters of the 68% solution.