CBSE Class 10 Answered
Let X and Y be the amounts of the two solutions respectively to be mixed.
Now the total acid amount in mixed should be same as total of that coming from individual solutions.
0.5X + 0.25Y = 0.4(10) = 4 ... (1)
Similarly the total water amount in the mixed solution should also balanced with the total of water amounts from individual solutions.
First solution is 50% acid so remainin 50% is water.
0.5X + 0.75Y = 0.6(10) = 6 .... (2)
Solving the two equations,
Y = 4 lit, and hence X = 10-4 = 6 lit.
Hence 6 lit of 50% and 4 lit of 25% acid solutions to be mixed.