A tank was 1/3 full of water. After 2950 ml of water were added, the tank was 3/4 full of water. Find the capacity of the tank in litres.

Answer 1

Let's start by determining what fraction of the tank was filled with water after 2950 ml were added.

We know that the tank was initially 1/3 full. This means that 2/3 of the tank was empty.

After adding 2950 ml of water, the tank was 3/4 full, which means that 1/4 of the tank was empty.

So, we can say that 2/3 + 1/4 of the tank was filled with water after adding 2950 ml.

To find a common denominator, we multiply 2/3 by 4/4 to get 8/12.

Therefore, 8/12 + 1/4 = 10/12 = 5/6 of the tank was filled with water after adding 2950 ml.

Since we know that this amount corresponds to 2950 ml, we can set up a proportion to find the total capacity of the tank.

5/6 = 2950/x, where x is the total capacity of the tank in milliliters.

Cross-multiplying, we get 5x = 6 * 2950.

Simplifying, we obtain 5x = 17700.

Dividing both sides by 5, we find that x = 3540.

So, the capacity of the tank is 3540 ml.

To convert this to liters, we divide by 1000, since 1 liter is equal to 1000 ml.

Therefore, the capacity of the tank is 3540/1000 = <<3540/1000=3.54>>3.54 liters.

Thus, the capacity of the tank is 3.54 liters. Answer: \boxed{3.54}.