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A sports event has 180 athletes and 20 officials. Each person needs 1.5 liters of water. How much water is needed in total? Convert this to kiloliters. If water is stored in 2.5 kL tanks, how many ful

Mathematics

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Question 1.1.1

  1. Calculate the total number of attendees.

    Total attendees = Number of athletes + Number of officials

    Total attendees=180+20=200\text{Total attendees} = 180 + 20 = 200
  2. Calculate the total amount of water required.

    Each person is allocated 1.5 litres of water.

    Total water required=Total attendees×Water per person\text{Total water required} = \text{Total attendees} \times \text{Water per person} Total water required=200×1.5 litres=300 litres\text{Total water required} = 200 \times 1.5 \text{ litres} = 300 \text{ litres}

    The total amount of water required for all attendees is 300 litres\boxed{\text{300 litres}}.

    Question 1.1.2

  3. Convert the total water required from litres to kilolitres.

    We know that 1 kilolitre (1 kL1 \text{ kL}) is equal to 1000 litres (1000 L1000 \text{ L}).

    Total water in kL=Total water in L1000\text{Total water in kL} = \frac{\text{Total water in L}}{1000} Total water in kL=300 L1000=0.3 kL\text{Total water in kL} = \frac{300 \text{ L}}{1000} = 0.3 \text{ kL}

    The total water required in kilolitres is 0.3 kL\boxed{\text{0.3 kL}}.

    Question 1.1.3

  4. Determine the capacity of one water tank in litres.

    The problem states that water is stored in tanks of 2.5 kilolitres each.

    Tank capacity in L=2.5 kL×1000 L/kL=2500 L\text{Tank capacity in L} = 2.5 \text{ kL} \times 1000 \text{ L/kL} = 2500 \text{ L}
  5. Calculate the number of full water tanks needed.

    Number of tanks=Total water requiredCapacity per tank\text{Number of tanks} = \frac{\text{Total water required}}{\text{Capacity per tank}} Number of tanks=300 L2500 L/tank=0.12 tanks\text{Number of tanks} = \frac{300 \text{ L}}{2500 \text{ L/tank}} = 0.12 \text{ tanks}

    Since we cannot have a fraction of a tank and we need to ensure all water is available, we must round up to the next whole number.
    Therefore, the number of full water tanks needed is 1 tank\boxed{\text{1 tank}}.

    Question 1.1.4

  6. Calculate the total capacity of the tanks used.

    From 1.1.3, we determined that 1 tank is needed.

    Total capacity of tanks used=1 tank×2500 L/tank=2500 L\text{Total capacity of tanks used} = 1 \text{ tank} \times 2500 \text{ L/tank} = 2500 \text{ L}
  7. Calculate the amount of water that will remain unused in the last tank.

    Unused water=Total capacity of tanks used−Total water required\text{Unused water} = \text{Total capacity of tanks used} - \text{Total water required} Unused water=2500 L−300 L=2200 L\text{Unused water} = 2500 \text{ L} - 300 \text{ L} = 2200 \text{ L}

    The amount of water that will remain unused in the last tank is 2200 litres\boxed{\text{2200 litres}}.

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