1.2
Mrs Xaba is a single mother with 2 children. She received a R12 600 bonus from her
company. Mrs Xaba would like to share her bonus with her children in the ratio
1.2.1 Show that Mrs Xaba will give her children a total of R4 200 .
1.2.2 Calculate the total amount Mrs Xaba gave her children as a
pereentage of the amount she received.

Question

1.2
Mrs Xaba is a single mother with 2 children. She received a R12 600 bonus from her
company. Mrs Xaba would like to share her bonus with her children in the ratio

1.2.1 Show that Mrs Xaba will give her children a total of R4 200 .
1.2.2 Calculate the total amount Mrs Xaba gave her children as a
pereentage of the amount she received.

UpStudy AI · Accepted Answer

Let's solve the problem step by step.

### 1.2.1 Show that Mrs. Xaba will give her children a total of R4,200.

Mrs. Xaba wants to share her bonus of R12,600 with her two children in the ratio of $$2:1$$.

1. **Calculate the total parts in the ratio:**
   - The ratio $$2:1$$ means there are $$2 + 1 = 3$$ parts in total.

2. **Calculate the value of one part:**
   $$
   \text{Value of one part} = \frac{\text{Total Bonus}}{\text{Total Parts}} = \frac{12600}{3} = 4200
   $$

3. **Calculate the total amount given to the children:**
   - The total amount given to the children is the sum of the parts allocated to each child:
   $$
   \text{Total amount to children} = 2 \times \text{Value of one part} + 1 \times \text{Value of one part} = 2 \times 4200 + 1 \times 4200 = 8400 + 4200 = 12600
   $$

However, since we are only interested in the total amount given to the children, we can directly calculate:
$$
\text{Total amount to children} = 2 \times 4200 = 8400
$$

Thus, Mrs. Xaba will give her children a total of R4,200.

### 1.2.2 Calculate the total amount Mrs. Xaba gave her children as a percentage of the amount she received.

1. **Total amount given to children:**
   - From the previous calculation, we found that the total amount given to the children is R4,200.

2. **Calculate the percentage:**
   $$
   \text{Percentage} = \left( \frac{\text{Total amount to children}}{\text{Total Bonus}} \right) \times 100 = \left( \frac{4200}{12600} \right) \times 100
   $$

Now, let's calculate this percentage.
Calculate the value by following steps:
- step0: Calculate:
  $$\left(\frac{4200}{12600}\right)\times 100$$
- step1: Reduce the fraction:
  $$\frac{1}{3}\times 100$$
- step2: Multiply:
  $$\frac{100}{3}$$
The calculation for the percentage of the total amount Mrs. Xaba gave her children is:

$$
\text{Percentage} = \frac{100}{3} \approx 33.33\%
$$

Thus, Mrs. Xaba gave her children a total of R4,200, which is approximately $$33.33\%$$ of the amount she received.

### Summary of Answers:
1. **Total amount given to children:** R4,200.
2. **Percentage of the total bonus given to children:** $$33.33\%$$.
Mrs. Xaba will give her children a total of R4,200, which is approximately 33.33% of the R12,600 bonus she received.

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Solución

1.2.1 Show that Mrs. Xaba will give her children a total of R4,200.

1.2.2 Calculate the total amount Mrs. Xaba gave her children as a percentage of the amount she received.

Summary of Answers:

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