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Linear models word problems

Andrei has a glass tank. First, he wants to put in some marbles, each of which has a volume of 0.040.04 liters. Then, he wants to fill the tank with water until it's completely full. If he uses 5050 marbles, he will have to add 3333 liters of water.
What is the volume of the tank?
  • Your answer should be
  • an integer, like 66
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4
  • an exact decimal, like 0.750.75
  • a multiple of pi, like 12 pi12\ \text{pi} or 2/3 pi2/3\ \text{pi}
liters
Andrei has exactly 2020 liters of water. How many marbles does he need so the tank is full?
  • Your answer should be
  • an integer, like 66
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4
  • an exact decimal, like 0.750.75
  • a multiple of pi, like 12 pi12\ \text{pi} or 2/3 pi2/3\ \text{pi}
marbles