540 meters of water is stored in a tank

540 meters of water is stored in a tank. If 130 liters 850 ml of water is consumed during the day, how much water is left in the tank after the consumption?

The correct answer and explanation is:

To solve this problem, let’s first convert everything into the same units to make the calculations easier.

  1. Convert the total amount of water in the tank from meters to liters:
    • Since 1 meter of water equals 1,000 liters, 540 meters of water is equivalent to:
    540 meters×1000=540,000 liters540 \, \text{meters} \times 1000 = 540,000 \, \text{liters}
  2. Convert the amount of water consumed from liters and milliliters to just liters:
    • 130 liters 850 milliliters can be broken down as:
    130 liters+850 milliliters=130 liters+0.85 liters=130.85 liters130 \, \text{liters} + 850 \, \text{milliliters} = 130 \, \text{liters} + 0.85 \, \text{liters} = 130.85 \, \text{liters}
  3. Subtract the consumed amount from the total water available in the tank:
    • Now subtract the amount consumed from the total amount in the tank:
    540,000 liters−130.85 liters=539,869.15 liters540,000 \, \text{liters} – 130.85 \, \text{liters} = 539,869.15 \, \text{liters}

Therefore, after the consumption, 539,869.15 liters of water will be left in the tank.

Explanation:

  • The problem is straightforward but involves converting units to ensure consistency. First, we converted 540 meters of water to liters (since the consumption is provided in liters), making it easier to subtract the consumption from the total. The milliliters of water consumed were also converted into liters (850 milliliters = 0.85 liters), ensuring the calculation remains in the same unit (liters).
  • The final result, 539,869.15 liters, represents the remaining water in the tank after the specified consumption.
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