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

To find the number of students signed up for only one of the two bands, subtract the number of students signed up for both bands from the total number of students signed up for each band individually. The number of students signed up for only one of the two bands is 26.

Step-by-step explanation:

To find the number of students signed up for only one of the two bands, we need to subtract the number of students signed up for both bands from the total number of students signed up for each band individually.

Number of students signed up for only performance band = Total number of students signed up for performance band - Number of students signed up for both bands

Number of students signed up for only jazz band = Total number of students signed up for jazz band - Number of students signed up for both bands

Therefore, the number of students signed up for only one of the two bands is 26.

Keywords: performance band, jazz band, signed up, both bands, students

Answer 2

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