Question

The school auditorium seats 310 people. For a particular perfmormance, all of the seats in the auditorium are reserved. The number of seats for students is 25 more than twice the amount reserved for adults( faculty, staff, and parents.) How many seats are reserved for students? How many seats are reserved for adults?

Answer 1

s = 25 + 2f
s + f = 310

substitute s = 25 + 2f into the second equation

25 + 2f + f = 310
3f + 25 = 310
subtract 25 from both sides
3f = 285
divide both sides by 3
f = 95
faculty = 95
students = 310 - 95 = 215