math
posted by Kristin "Ms Sue" on .
Patsy has cheerleading practice on every fourth school day. She wants to be in the school play, but they have practice on every sixth school day. If both started on September 5th, what would be the first date that she has to choose between cheerleading and play practice?
I have no idea what to do or where to start? I have no help but you guys. Please help?

Start with finding the lowest common multiple

Which would be 2 ? then what ?

what's the smallest number divisible by both 4 and 6?
12
But that does not solve the problem. What is the date 12 school days after Sept.5?
12 school days is 2 weeks + 2 days. So, if 9/5 is MW, you will only have two weekends to count. If it's Thu or Fri, you have a 3rd weekend to include.
And what about Labor Day? 
Now, if you had said "earliest possible" date, then we'd have 9/21.

Thank you we understand, but I agree with all the what ifs.This was the most frustriting math problem.