Sure! Let's go through each part of the problem step-by-step:
### 1.1 If each mini chocolate bar selling price is R7,50, how much will your class make per box?
First, we need to determine how much profit we make from selling one mini chocolate bar. Then, calculate the total profit from selling all the mini chocolates in one box.
#### Step 1: Calculate profit per chocolate
- The cost per box of mini chocolates is R74.99.
- Each box contains 24 mini chocolates.
- Each mini chocolate bar sells for R7.50.
The cost per chocolate is:
[tex]\[ \text{Cost per chocolate} = \frac{\text{Box cost}}{\text{Mini chocolates per box}} = \frac{74.99}{24} \approx 3.12458333333 \][/tex]
The profit per chocolate is:
[tex]\[ \text{Profit per chocolate} = \text{Selling price per chocolate} - \text{Cost per chocolate} \approx 7.50 - 3.12458333333 \approx 4.37541666666 \][/tex]
#### Step 2: Calculate profit per box
[tex]\[ \text{Profit per box} = \text{Profit per chocolate} \times \text{Mini chocolates per box} \approx 4.37541666666 \times 24 = 105.01 \][/tex]
Thus, the class makes R105.01 profit per box.
### 1.2 How many boxes of mini chocolates does your class need to buy for fund raising?
Let's assume the fundraising goal is R1500.
#### Calculate number of boxes needed
[tex]\[ \text{Number of boxes needed} = \left\lceil \frac{\text{Fundraising goal}}{\text{Profit per box}} \right\rceil = \left\lceil \frac{1500}{105.01} \right\rceil \approx \left\lceil 14.28 \right\rceil = 15 \][/tex]
Thus, the class needs to buy 15 boxes to meet the fundraising goal.
### Calculate how much the boxes of mini chocolates will cost altogether.
#### Total cost for the required boxes
[tex]\[ \text{Total box cost} = \text{Number of boxes} \times \text{Cost per box} = 15 \times 74.99 = 1124.85 \][/tex]
Thus, the total cost for 15 boxes of mini chocolates will be R1124.85.
In summary:
1. The class makes R105.01 per box.
2. The class needs to buy 15 boxes for fund raising.
3. The total cost for the boxes of mini chocolates altogether is R1124.85.
