Question

There are 45 students signed up for a performance band while 30 are signed up for a jazz band. If 19 students are signed up for both bands, then how many students are signed up for only one of the two bands?
I tend to overthink constantly and I ended up with two answers: 56 students and 37 students. I am pretty sure it is 56 but I really need help to double check. Plz help me ​

Answer 1

45 students for performance

30 students for jazz

19 for both

Add the two bands first

45 + 30 = 75 students

Since there are 19 for both and the question is how many students signed up for only one of the two bands (not both bands).

75 - 19 = 56 students signed for one of the two bands

So you're good to go