1. **State the problem:** Ramiro earns 20 per hour during the week and 30 per hour on the weekend for overtime. He earned a total of 650 in one week. He worked 5 times as many hours during the week as on the weekend. We need to find how many hours he worked on the weekend. 2. **Define variables:** Let $w$ be the number of hours worked during the week and $o$ be the number of hours worked on the weekend. 3. **Write the system of equations:** - Total earnings: $$20w + 30o = 650$$ - Relationship between hours: $$w = 5o$$ 4. **Substitute $w$ in the first equation:** $$20(5o) + 30o = 650$$ 5. **Simplify and solve for $o$:** $$100o + 30o = 650$$ $$130o = 650$$ $$o = \frac{650}{130} = 5$$ 6. **Interpret the result:** Ramiro worked 5 hours of overtime on the weekend. 7. **Find $w$ for completeness:** $$w = 5o = 5 \times 5 = 25$$ **Final answer:** Ramiro worked **5 hours** of overtime on the weekend.