a tank is 3/5 empty when 26 liters of water added it becomes 12/17 full what is capacity of tank
(1-3/5)x + 26 = 12/17x
Solve for x.
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To determine the capacity of the tank, we can follow these steps:
1. Let's assume the capacity of the tank is "x" liters.
2. According to the given information, the tank is initially 3/5 empty, which means it is (2/5) full.
3. We can express this as (2/5)x liters.
4. When 26 liters of water is added, the tank becomes 12/17 full, or (12/17)x liters.
5. We can now set up an equation using the information:
(2/5)x + 26 = (12/17)x
6. To solve this equation, we can cross-multiply:
17(2x) + 17(26) = 5(12x)
34x + 442 = 60x
442 = 26x
7. Now, we can solve for "x" by dividing both sides by 26:
x = 442/26 = 17
Therefore, the capacity of the tank is 17 liters.