Question

Ms. Lucas conducted a survey of 40 randomly chosen students she teaches. The survey results showed that 23 are in the marching band and 25 are taking Spanish class. There are 12 students both in the marching band and taking Spanish class.

A. How many students are in the marching band and not taking Spanish?
B. How many students are taking Spanish and not in the marching band?
C. How many students are neither in the marching band nor taking Spanish class?

Answer 1

There are 11 students in the marching band only, 13 students taking Spanish only, and 4 students neither in the marching band nor taking Spanish.

Step-by-step explanation:

Based on the survey conducted with 40 students:

1. To find the number of students in the marching band and not taking Spanish, we subtract the number who are in both marching band and Spanish, 12, from the total in marching band, 23. So, there are 11 students in the marching band only.
2. To determine the number of students taking Spanish and not in the marching band, we subtract the number who are in both (12) from the total taking Spanish (25), resulting in 13 students taking Spanish only.
3. To find out how many students are neither in the marching band nor taking Spanish, we add the numbers from part A (11) and part B (13) and subtract from the total surveyed (40) and subtract the number in both (12). Hence, there are 4 students who are not participating in either activity.