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1. Thando buys a 2 l bottle of cooldrink.

a. He drinks a cup (250 ml) of cooldrink. How much is left in the bottle?

b. Thando then gives Thembi and James half a cup each. How much is left in the bottle now?

c. Finally, Thando pours a cup each for his mum and dad. How much cooldrink is left?

2. The Khumalo family drinks 5 l of milk a day. How many litres will they drink during the month of March?

3. Dad's car uses 14 ℓ of petrol a day. How many litres of petrol will he use in 4 weeks?

4. A farmer uses 980 ℓ of liquid fertiliser on his plants in a week. How much fertiliser does he use in 365 days?

5. Sipho has 2 000 ml of shampoo. If he uses a quarter litre of shampoo to wash his dog, how much is left over?

6. From 1 litre of cool drink you can fill 4½ glasses. How many litres of cool drink do you need if you want to pour one glass of cool drink for each of your 18 friends?

7. My neighbours use 27 kl of water in 3 months. What is their total consumption of water per year?

Answer :

Let's solve each part of the question step-by-step.

  1. Thando and the Cooldrink:
    a. Thando starts with a 2 liter (L) bottle of cooldrink, which is 2000 milliliters (ml). He drinks a cup of 250 ml. To find out how much is left, subtract 250 ml from 2000 ml.
    [tex]2000 \text{ ml} - 250 \text{ ml} = 1750 \text{ ml}[/tex]
    So, 1750 ml is left after Thando's first drink.

    b. Thando gives Thembi and James half a cup each. Since a full cup is 250 ml, half a cup is 125 ml. Together, they drink 125 ml each, which is 250 ml in total. Subtract this from the remaining 1750 ml.
    [tex]1750 \text{ ml} - 250 \text{ ml} = 1500 \text{ ml}[/tex]
    Now, there is 1500 ml left.

    c. Thando pours a cup each for his mum and dad, which is 250 ml per cup, totaling 500 ml. Subtract this from the 1500 ml left.
    [tex]1500 \text{ ml} - 500 \text{ ml} = 1000 \text{ ml}[/tex]
    Therefore, 1000 ml of cooldrink is left.

  2. Khumalo Family and Milk Consumption:
    The family drinks 5 liters (L) of milk every day. March usually has 31 days, so multiply the daily consumption by the number of days in March to find the total consumption.
    [tex]5 \text{ L/day} \times 31 \text{ days} = 155 \text{ L}[/tex]
    The Khumalo family will drink 155 liters of milk in March.

  3. Dad's Car Petrol Usage:
    The car uses 14 liters of petrol per day. Four weeks are generally 28 days. So multiply the daily usage by the number of days in 4 weeks.
    [tex]14 \text{ L/day} \times 28 \text{ days} = 392 \text{ L}[/tex]
    Dad's car will use 392 liters of petrol in 4 weeks.

  4. Farmer's Liquid Fertilizer:
    The farmer uses 980 liters per week. To find the annual usage over 365 days, first calculate the number of weeks in 365 days. This is approximately 52 weeks and 1 extra day. Multiply the weekly usage by 52, then adjust for the extra day if necessary.
    [tex]980 \text{ L/week} \times 52 \text{ weeks} = 50,960 \text{ L}[/tex]
    Approximately, the farmer uses 50,960 liters in a year.

  5. Sipho and Shampoo:
    Sipho starts with 2000 milliliters (ml) of shampoo. A quarter of a liter is 0.25 liters, which is 250 ml. Subtract this usage from the original amount.
    [tex]2000 \text{ ml} - 250 \text{ ml} = 1750 \text{ ml}[/tex]
    Sipho will have 1750 ml of shampoo left.

  6. Cooldrink for Friends:
    A liter can fill 4.5 glasses. To find how many liters are needed for 18 friends, determine the total number of glasses and divide by the glasses a liter can fill.
    [tex]\frac{18 \text{ glasses}}{4.5 \text{ glasses/L}} = 4 \text{ L}[/tex]
    You need 4 liters of cooldrink to serve one glass to each of your 18 friends.

  7. Water Usage by Neighbors:
    The neighbors use 27 kiloliters (kl) in 3 months. To find the yearly usage, determine the consumption per month, then multiply by 12 months.
    [tex]\frac{27 \text{ kl}}{3 \text{ months}} = 9 \text{ kl/month}[/tex]
    [tex]9 \text{ kl/month} \times 12 \text{ months} = 108 \text{ kl}[/tex]
    The yearly water consumption is 108 kiloliters.

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