1. **Stating the problem:** We are given that a supervisor and 7 workers earn 1560 per month, and 2 supervisors and 17 workers earn 3660 per month. We need to find the monthly wages of supervisors and workers, and then compute the total wages for 2 supervisors and 10 workers. 2. **Formulating the simultaneous equations:** Let $S$ be the monthly wage of a supervisor and $W$ be the monthly wage of a worker. From the problem: - One supervisor and 7 workers earn 1560: $$S + 7W = 1560$$ - Two supervisors and 17 workers earn 3660: $$2S + 17W = 3660$$ 3. **Solving the simultaneous equations:** Multiply the first equation by 2 to align the $S$ terms: $$2S + 14W = 3120$$ Subtract this from the second equation: $$ (2S + 17W) - (2S + 14W) = 3660 - 3120$$ $$3W = 540$$ $$W = \frac{540}{3} = 180$$ Substitute $W=180$ into the first equation: $$S + 7(180) = 1560$$ $$S + 1260 = 1560$$ $$S = 1560 - 1260 = 300$$ 4. **Computing total wages for 2 supervisors and 10 workers:** $$2S + 10W = 2(300) + 10(180) = 600 + 1800 = 2400$$ **Final answers:** - Monthly wage of a supervisor: $300$ - Monthly wage of a worker: $180$ - Total monthly wages for 2 supervisors and 10 workers: $2400$