1. **Problem statement:** Martina's pension contributions follow a ratio of 3:3:1 for employee, employer, and government respectively, totaling 7 parts. Martina's total pension savings in the first year is 1351. We need to find how much each party contributed.
2. **Formula and explanation:** The total ratio parts are $3 + 3 + 1 = 7$. The total amount 1351 corresponds to these 7 parts. To find each contribution, divide 1351 by 7 to find the value of one part, then multiply by each ratio number.
3. **Calculations:**
$$\text{Value of one part} = \frac{1351}{7} = 193\n$$
- Martina's contribution: $3 \times 193 = 579$
- Employer's contribution: $3 \times 193 = 579$
- Government's contribution: $1 \times 193 = 193$
4. **Answer for (i):**
- Martina: 579
- Employer: 579
- Government: 193
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5. **Problem statement (ii):** Brian contributes 731.25 as an employee, which is 1.5% of his gross income. Find his gross income.
6. **Formula:** Contribution = Gross Income $\times$ Contribution Rate
7. **Calculations:**
$$731.25 = \text{Gross Income} \times 0.015$$
Divide both sides by 0.015:
$$\text{Gross Income} = \frac{731.25}{0.015}$$
Show cancellation:
$$\text{Gross Income} = \frac{731.25}{\cancel{0.015}} \times \frac{\cancel{1}}{1} = 48750$$
8. **Answer for (ii):** Brian's gross income is 48750.
**Final answers:**
(i) Martina: 579, Employer: 579, Government: 193
(ii) Brian's gross income: 48750
Pension Contributions 148850
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