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Sagot :
Sure, let's break down each of the scenarios and answer the questions step-by-step.
### Scenario 1: Cold Drink Consumption
#### Details:
- A family of five buys a 2-litre bottle of cold drink every day.
- Each of the three children drinks 250 milliliters (mL) of cold drink daily after lunch.
To address the questions:
#### a) How much cold drink is left for the rest of the family after the children each drank a glass of cold drink in the afternoon?
Step-by-step solution:
1. Calculate the total amount of cold drink the children consume:
- There are 3 children, and each drinks 250 mL.
- Therefore, the total amount consumed by the children is:
[tex]\[ 250 \, \text{mL/child} \times 3 \, \text{children} = 750 \, \text{mL} \][/tex]
2. Calculate the total amount of cold drink left:
- The family buys a 2-litre bottle of cold drink every day.
- 2 litres is equivalent to 2000 mL.
- After the children drink 750 mL, the amount left is:
[tex]\[ 2000 \, \text{mL} - 750 \, \text{mL} = 1250 \, \text{mL} \][/tex]
Answer: 1250 mL of cold drink is left for the rest of the family.
#### b) How much cold drink does the family buy each week?
Step-by-step solution:
1. Calculate the daily amount of cold drink bought:
- The family buys a 2-litre bottle every day.
2. Calculate the weekly amount of cold drink bought:
- There are 7 days in a week.
- Therefore, the total amount of cold drink bought in a week is:
[tex]\[ 2 \, \text{litres/day} \times 7 \, \text{days} = 14 \, \text{litres} \][/tex]
Answer: The family buys 14 litres of cold drink each week.
### Scenario 2: Water Cooler
#### Details:
- A water cooler contains 21 litres (L) of water.
#### c) [tex]\(\frac{1}{2}\)[/tex] litre of water is added to the water cooler. How much water does it now contain?
Step-by-step solution:
1. Calculate the amount of water added:
- 0.5 litres (or [tex]\(\frac{1}{2}\)[/tex] litre) is added to the water cooler.
2. Calculate the total amount of water in the cooler after adding:
- The initial amount of water in the cooler is 21 litres.
- Therefore, the total amount after adding 0.5 litres is:
[tex]\[ 21 \, \text{litres} + 0.5 \, \text{litres} = 21.5 \, \text{litres} \][/tex]
Answer: The water cooler now contains 21.5 litres of water.
#### d) Daniel fills his water bottle with 500 milliliters (mL) of water from the water cooler. How much water remains in the water cooler?
Step-by-step solution:
1. Convert the amount of water Daniel fills into litres:
- 500 mL is equivalent to 0.5 litres.
2. Calculate the total amount of water in the cooler after Daniel fills his bottle:
- The initial amount of water in the cooler is 21.5 litres (after the previous addition).
- Therefore, the total amount remaining after Daniel takes 0.5 litres is:
[tex]\[ 21.5 \, \text{litres} - 0.5 \, \text{litres} = 21 \, \text{litres} \][/tex]
Answer: The water cooler has 21 litres of water remaining after Daniel fills his bottle.
### Scenario 1: Cold Drink Consumption
#### Details:
- A family of five buys a 2-litre bottle of cold drink every day.
- Each of the three children drinks 250 milliliters (mL) of cold drink daily after lunch.
To address the questions:
#### a) How much cold drink is left for the rest of the family after the children each drank a glass of cold drink in the afternoon?
Step-by-step solution:
1. Calculate the total amount of cold drink the children consume:
- There are 3 children, and each drinks 250 mL.
- Therefore, the total amount consumed by the children is:
[tex]\[ 250 \, \text{mL/child} \times 3 \, \text{children} = 750 \, \text{mL} \][/tex]
2. Calculate the total amount of cold drink left:
- The family buys a 2-litre bottle of cold drink every day.
- 2 litres is equivalent to 2000 mL.
- After the children drink 750 mL, the amount left is:
[tex]\[ 2000 \, \text{mL} - 750 \, \text{mL} = 1250 \, \text{mL} \][/tex]
Answer: 1250 mL of cold drink is left for the rest of the family.
#### b) How much cold drink does the family buy each week?
Step-by-step solution:
1. Calculate the daily amount of cold drink bought:
- The family buys a 2-litre bottle every day.
2. Calculate the weekly amount of cold drink bought:
- There are 7 days in a week.
- Therefore, the total amount of cold drink bought in a week is:
[tex]\[ 2 \, \text{litres/day} \times 7 \, \text{days} = 14 \, \text{litres} \][/tex]
Answer: The family buys 14 litres of cold drink each week.
### Scenario 2: Water Cooler
#### Details:
- A water cooler contains 21 litres (L) of water.
#### c) [tex]\(\frac{1}{2}\)[/tex] litre of water is added to the water cooler. How much water does it now contain?
Step-by-step solution:
1. Calculate the amount of water added:
- 0.5 litres (or [tex]\(\frac{1}{2}\)[/tex] litre) is added to the water cooler.
2. Calculate the total amount of water in the cooler after adding:
- The initial amount of water in the cooler is 21 litres.
- Therefore, the total amount after adding 0.5 litres is:
[tex]\[ 21 \, \text{litres} + 0.5 \, \text{litres} = 21.5 \, \text{litres} \][/tex]
Answer: The water cooler now contains 21.5 litres of water.
#### d) Daniel fills his water bottle with 500 milliliters (mL) of water from the water cooler. How much water remains in the water cooler?
Step-by-step solution:
1. Convert the amount of water Daniel fills into litres:
- 500 mL is equivalent to 0.5 litres.
2. Calculate the total amount of water in the cooler after Daniel fills his bottle:
- The initial amount of water in the cooler is 21.5 litres (after the previous addition).
- Therefore, the total amount remaining after Daniel takes 0.5 litres is:
[tex]\[ 21.5 \, \text{litres} - 0.5 \, \text{litres} = 21 \, \text{litres} \][/tex]
Answer: The water cooler has 21 litres of water remaining after Daniel fills his bottle.
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