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? Explain.

no its on the 17

Steve, you missed where you have to add 5 to 12.

17 is the correct answer

How do you know that 17 is the answer Connexus shopkin?

LCM(4,6) = 12

so, on the 12th school day she will have to choose.

Not knowing which day of the week was Sept 5, it's hard to say the date of the 12th school day afterwards.

Especially if Labor Day is in there somewhere!

that is correct

No, Labor Day is on the 4th

yes how?

To find the first date that Patsy has to choose between cheerleading and play practice, we need to find the first common multiple of 4 and 6.

First, let's determine the multiples of 4: 4, 8, 12, 16, 20, 24, 28, ...

Next, let's determine the multiples of 6: 6, 12, 18, 24, 30, 36, ...

We can see that the first common multiple of 4 and 6 is 12, which means Patsy will have to choose between cheerleading and play practice on the 12th school day.

To find the date, we need to count the number of school days from September 5th. Since September has 30 days, the 12th school day would fall on September 16th. Therefore, September 16th would be the first date that Patsy has to choose between cheerleading and play practice.