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William has a 26-liter glass tank. First, he wants to put some marbles in it, all of the same volume. Then, he wants to fill the tank with water until it's completely full. If he uses 85 marbles, he will have to add 20.9 liters of water. What is the volume of each marble? How much water is necessary if William uses 200 marbles?

Respuesta :

14L is the final answer!!! :)))

Answer:

Step-by-step explanation:

Alright, lets get started.

The volume of tank is given as 26.

When the tank is filled with 85 marbles, 20.9 liters of water required to fill the tank.

So the volume of 85 marble = [tex]26-20.9=5.1[/tex]

So, volume of each marble = [tex]\frac{5.1}{85}=0.06[/tex]

So, if William wants to use 200 marbles, the volume that will cover : [tex]200*.06=12[/tex]

So, in 26 liters of tank, marbles will take volume = [tex]12[/tex]

So, water will be required to fill the tank =  [tex]26-12=14[/tex]

hence 14 liters of water is required to fill the tank.  :  Answer

Hope it will help :)

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