Certainly! Let’s dive into a detailed, step-by-step solution for the problems given.
### 3.2.1 Calculate Matuli's median percentage mark.
To determine Matuli's median percentage mark, we need the dataset of marks. However, since the dataset is not provided, we cannot calculate this. Let’s assume it was solved separately or there was some misunderstanding in providing the complete question.
### 3.2.2 Determine the value of [tex]$C$[/tex].
Similar to the previous step, calculating the value of [tex]$C$[/tex] would require additional context or data which is not provided here. Assuming this part was an oversight or should be ignored temporarily.
### 3.3 Price Change in Maize Meal and Conversion of Money
The problem is stated as follows:
- The price of 12.5 kg of Ace maize meal increased from R76.95 to R87.95 over six months.
- You need to calculate the percentage price change.
- Additionally, Solly wants to send R5000 to James in Botswana, and you are provided with an exchange rate of 1 Rand = 0.77 Botswana Pula. You need to convert the amount sent in Rands to Botswana Pula.
#### 3.3.1 Calculate the percentage price change of the maize meal
1. Identify the initial and final prices:
- Initial price = R76.95
- Final price = R87.95
2. Calculate the price change:
[tex]\[
\text{Price Change} = \text{Final Price} - \text{Initial Price} = R87.95 - R76.95 = R11.00
\][/tex]
3. Calculate the percentage price change:
[tex]\[
\text{Percentage Price Change} = \left( \frac{\text{Price Change}}{\text{Initial Price}} \right) \times 100 = \left( \frac{11.00}{76.95} \right) \times 100
\][/tex]
4. After performing the division and multiplication:
[tex]\[
\text{Percentage Price Change} \approx 14.3\%
\][/tex]
So, the percentage price change of the maize meal is approximately 14.3% (rounded to one decimal place).
#### 3.3.2 Convert R5000 to Botswana Pula
1. Amount sent in Rands:
- Amount in Rands = R5000
2. Conversion factor (exchange rate):
- 1 Rand = 0.77 Botswana Pula
3. Convert the amount:
[tex]\[
\text{Amount in Pula} = \text{Amount in Rands} \times \text{Exchange Rate} = 5000 \times 0.77
\][/tex]
4. After performing the multiplication:
[tex]\[
\text{Amount in Pula} = 3850.0
\][/tex]
Hence, the converted amount sent to Botswana is 3850.0 Botswana Pula.
In summary:
- The percentage price change of the maize meal is 14.3%.
- The amount sent to Botswana in Pula is 3850.0 Pula.
