Question

A water tank can hold $6000$ litres of water. If it fills a tank $800$ litres and $400$ litres respectively in this order, How many tanks of each type can be filled?

Answer 1

Hint: To evaluate the number of tanks of each type we have to subtract the capacity of each tank from the total capacity of the tank which is $6000$ litres and write the numbers.

Complete Step-by-Step solution:
We are given that a water tank can hold $6000$ litres of water.
We have to fill the tank $800$ litres and $400$litres respectively in this order and evaluate the number of tanks of each type.
Suppose, $800$ litres filled in the first tank.
Therefore, remaining water is $6000 - 800 = 5200$ litres
Now, $400$ litres filled in the second tank from the remaining water.
Therefore, remaining water is $5200 - 400 = 4800$ litres
Again, $800$ litres filled in the first tank from the remaining water.
Therefore, remaining water is $4800 - 800 = 4000$ litres
Now, $400$ litres filled in the second tank from the remaining water.
Therefore, remaining water is $4000 - 400 = 3600$ litres
Again, $800$ litres filled in the first tank from the remaining water.
Therefore, remaining water is $3600 - 800 = 2800$ litres
Now, $400$ litres filled in the second tank from the remaining water.
Therefore, remaining water is $2800 - 400 = 2400$ litres
Again, $800$ litres filled in the first tank from the remaining water.
Therefore, remaining water is $2400 - 800 = 1600$ litres
Now, $400$ litres filled in the second tank from the remaining water.
Therefore, remaining water is $1600 - 400 = 1200$ litres
Again, $800$ litres filled in the first tank from the remaining water.
Therefore, remaining water is $1200 - 800 = 400$ litres
Now, $400$ litres filled in the second tank from the remaining water.
Therefore, remaining water is $400 - 400 = 0$ litre
Now, no water left in the tank.

Count the total number of cases of each type of tank we get,
$5$ tanks of $800$ litres and $5$ tanks of $400$ litres can be filled.

Note:
There is an alternate method to solve this question which is given below:
Add the total capacity of both the tanks.
$800 + 400 = 1200$
If we divide the total capacity that is $6000$ litres by total capacity of both the tanks that is $1200$ litres we get $5$.
It means $5$ tanks of each type can be filled.