Subjects algebra

Earnings Men Women 8Ae19C

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1. **State the problem:** We know that 5 men or 7 women earn 2625 per day. We need to find how much 10 men and 13 women earn per day. 2. **Define variables:** Let the daily earning of one man be $M$ and one woman be $W$. 3. **Write equations from the problem:** From the problem, we have: $$5M = 2625$$ $$7W = 2625$$ 4. **Find earnings of one man and one woman:** $$M = \frac{2625}{5} = 525$$ $$W = \frac{2625}{7} = 375$$ 5. **Calculate earnings of 10 men and 13 women:** $$10M + 13W = 10 \times 525 + 13 \times 375$$ $$= 5250 + 4875$$ $$= 10125$$ 6. **Answer:** 10 men and 13 women will earn 10125 per day.