Subjects algebra

Pension Contributions Ce4F3A

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1. **Problem Statement:** Martina's pension contributions follow a ratio of 3:3:1 for employee, employer, and State respectively, totaling €1351 in the first year. We need to find individual contributions. 2. **Formula and Explanation:** The total contribution is split in the ratio $3:3:1$, meaning for every €7 total, €3 is from Martina, €3 from employer, and €1 from the State. 3. **Calculation:** Let the common factor be $x$. Then: $$3x + 3x + 1x = 7x = 1351$$ 4. Solve for $x$: $$x = \frac{1351}{7} = 193$$ 5. Calculate each contribution: - Martina: $3x = 3 \times 193 = 579$ - Employer: $3x = 579$ - Government: $1x = 193$ **Final answer:** Martina contributed 579, Employer contributed 579, Government contributed 193.