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# Math question?

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Andrei has a glass tank. First, he wants to put in some marbles, each of which has a volume of 0.04, point, 04 liters. Then, he

wants to fill the tank with water until it's completely full. If he uses 50 marbles, he will have to add 33 liters of water.

What is the volume of the tank?

Andrei has exactly 20 liters of water. How many marbles does he need so the tank is full?

Jul 3, 2017

#1
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Liters are liquid measure. So, I don't understand how marbles have their volume calculated in liters!!

But, let us go on.........

50 x 0.04 = 2 liters - combined volume of the marbles.

When placed in the tank, their total volume will displace an equal volume of water, or:

2 liters + 33 liters =35 liters of water - the volume of the tank.

35 - 20 = 15 liters needed

15 / 0.04 = 375 marbles that Andrei must put in the tank.

Jul 3, 2017
#2
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Let's convert liters to cubic centimeters

1 L =   1000 cubic centimeters  = 1000cc

The vo,ume of the 1 marble  = .04 L  X      1000cc / 1 L  =   40 cc

So the volume of tank =  the volume of the  50 marbles plus the 33L of water =

[50 x 40cc] +  33 [ 1000cc]  =  35000cc

If he has 20L of water, then he has 20000cc of water

So.....the number of marbles required to fill the remainder of the tank =

Remaining volume to be filled / volume of each marble  =

[ 35000 - 20000] cc / 40cc   =

15000 / 40  =

375 marbles  .......just as the guest found !!!

Jul 3, 2017
edited by CPhill  Jul 3, 2017