Tom and David get their hair cut at the Broadway Barber Shop on Saturdays. Tom gets his hair cut every 4 weeks. David gets his hair cut every 6 weeks. One Saturday, Tom and David got their hair cut at the same time. When will Tom and David get their hair cut on the same day again?
Tom and David will get their hair cut on the same day in
weeks.
To determine when Tom and David will get their hair cut on the same day again, we need to find the least common multiple (LCM) of the numbers 4 and 6.
First, let's write out the list of multiples for each number:
For Tom (getting a haircut every 4 weeks): 4, 8, 12, 16, 20, 24...
For David (getting a haircut every 6 weeks): 6, 12, 18, 24...
By comparing the lists, we see that the least common multiple of 4 and 6 is 12. Therefore, Tom and David will get their hair cut on the same day again in 12 weeks.
4 * 3 = 12
6 * 2 = 12