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There is some water in a tank. Water is then poured into the tank until the volume of the water is 8 times as much as the initial volume of water in the tank. When another 16.75 liters of water is added, the total volume of water in the tank becomes 20.35 liters. How much water is in the tank at first. Give your answer in liters

1 Answer

6 votes

Answer:

0.45 liters

Explanation:

Let the initial amount of water in the tank be x.

Then, the volume of water was 8 times as much as the initial volume, that is 8x.

Then, another 16.75 liters of water is added and the total volume of water is now 20.35 liters.

This means that the amount of water in the tank is now:

8x + 16.75 = 20.35

Let us find x:

8x = 20.35 - 16.75

8x = 3.6

x = 3.6/8 = 0.45 liters

There was 0.45 liters of water in the tank initially.

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