Math Tanks
In a chemistry lab have two distilled water tanks. Mary works in this lab, and make a riddle for Ann, your friend:
"The tank A have a half capacity of the tank B. These tanks are filled in half. They have this propriety: 'If the half of destilated water in the the tank A is put in the tank B, and after the 1/25 of distilled water in the tank B is put in tank A, the tank A finish with 3 liters of distilled water.' What is the capacity of the tank B?"
The answer is 20.
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1 solution
Simple. Frist makin these operations:
X is the tank A capacity. 2X is the tank B capacity.
In the problem we have this:
A...........B X/2.......2X
Make the operations in order:
X/2.......2X
X/4......5X/4
(X/4)+(5X/100)......(5X/4)-(5X/100)
120X/400......480X/400
120X / 400 = 30 120X = 12000 12X = 120 X=10
X is the capacity of the tank A. The tank A have the half capacity of the tank B. X 2=B 10 2=20
Answer: The capacity of the tank B is 20 liters.