The school auditorium seats 130 people. for a particular performance, the number of seats reserved for students is 25 are more than twice the amount reserved for adults. how many seats are reserved for students? how mamy are reserved for adults?

Since we are trying to find the adult seats, we'll set that to x.  Now the student section is 2x + 25.  The total seats is 130 which is the student section and adult section added together.  So now we can write an equation from the information given...

Students + adults = 130
(2x + 25) + x = 130
2x +25 +x = 130
2x + x + 25 = 130
3x + 25 = 130
3x = 130 - 25
3x = 105
x = 105/3 = 35

So there are 35 adult seats (remember we set adults to x)

Now we substitute back into the equation to find the students seats. As you recall students = 2x + 25

Students = 2x + 25
Students = 2(35) + 25
Students = 70 + 25
Students = 95

There are 95 student seats and 35 adult seats.