Question
Buddy gets paid for a job every 8 weeks and Ronny gets paid for a job every 10 weeks. How many weeks will it take for them to get paid at the same time
Answers
GPT-4o mini
To find out when Buddy and Ronny will get paid at the same time, we need to find the least common multiple (LCM) of their payment cycles. Buddy gets paid every 8 weeks, and Ronny gets paid every 10 weeks.
We can find the LCM by listing the multiples:
**Multiples of 8:**
- 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, ...
**Multiples of 10:**
- 10, 20, 30, 40, 50, 60, 70, 80, ...
The smallest multiple that appears in both lists is 40.
Thus, Buddy and Ronny will both get paid at the same time every **40 weeks**.
We can find the LCM by listing the multiples:
**Multiples of 8:**
- 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, ...
**Multiples of 10:**
- 10, 20, 30, 40, 50, 60, 70, 80, ...
The smallest multiple that appears in both lists is 40.
Thus, Buddy and Ronny will both get paid at the same time every **40 weeks**.