Final answer:
To represent the situation, we can set up a system of equations: a + s = 310 and s = 4a. Solving this system gives the number of adults as 62 and the number of students as 248.
Step-by-step explanation:
To represent the situation described, we can assume that the number of adults is a and the number of students is s. The first equation states that there were 310 people in attendance, so we have the equation a + s = 310. The second equation states that there were 4 times as many students as there were adults, so we have the equation s = 4a. We can solve this system of equations by substituting the second equation into the first equation:
a + 4a = 310
5a = 310
a = 310/5
a = 62
Substituting the value of a into the second equation, we can find the value of s:
s = 4*62
s = 248
Therefore, the number of adults is 62 and the number of students is 248. So the correct answer is a) Adults: 62, Students: 248.