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A water tank is 2 - 5 full?

A water tank is 2 - 5 full. When 700 litres of watwer is added the tank is 3 - 4 full. What is capacity of the tank?

En resumen

The volume of the container is 2000L Explanation step by step : Statement data : Container 2 / 5 full 700L of water are added. Container 3 / 4 full What is the total volume?

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Elisa2013
0

The volume of the container is 2000L

Explanation step by step :

Statement data :

Container 2 / 5 full

700L of water are added.

Container 3 / 4 full

What is the total volume?

Initially we have a volume of 2 / 5 of the total volume ie ;

2 / 5Vt

In addition to the 700 liters of water, the container will have 3 / 4 of the total volume, so we propose the following :

3 / 4Vt = initial volume + quantity added

3 / 4 Vt = 2 / 5 Vt + 700L

We cleared Vt :

Vt = 700L * (20 / 7)

Vt = 2000L.