A tank was 3/5 filled with water. After removing 120 litres of water from the tank it was 1/5 filled.
a)Find the amount of water the tank can hold when completely filed.
b)If one litre of water has a mass of 1 kg, find the mass of water in the tank when filled.
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a)600 liter.
b)600 kgs.
I don't understand
To solve this problem, we can break it down into two parts.
a) Finding the capacity of the tank
First, let's find the amount of water that was removed from the tank. We know that after removing 120 liters, the tank was 1/5 filled. Therefore, the difference between 1/5 and 3/5 (initially filled) is 2/5.
Let's represent the capacity of the tank as C.
So, the amount of water removed (120 liters) divided by the difference in tank fillings (2/5) equals the tank's capacity (C).
120 / (3/5 - 1/5) = C
Simplifying the equation:
120 / (2/5) = C
120 * (5/2) = C
300 = C
Hence, the capacity of the tank is 300 liters.
b) Finding the mass of water in the tank when filled
If one liter of water has a mass of 1 kg, then the mass of water in the tank when filled is equal to the capacity of the tank.
So, the mass of water in the tank when filled is 300 kg.