Question

Ava paid $120 plus $2.50 for each student who attended. If she paid a total of $325, how many students attended?

a) 80
b) 82
c) 85
d) 90

Answer 1

The problem is to find out the number of students who attended an event, given a total cost that includes a fixed cost and a variable cost per student. By setting up an equation and solving for the variable, we determine that 82 students attended the event.

Step-by-step explanation:

The question asks to determine the number of students that attended an event, based on a total cost that includes a fixed cost and a variable cost per attendee. Ava paid $120 plus $2.50 for each student who attended. If she paid a total of $325, we need to find out how many students attended.

To solve the problem, we set up the following equation where 'x' is the number of students:

$120 + $2.50 × x = $325

Now we subtract the fixed cost, $120, from the total cost to find out the amount that came from the students attending:

$325 - $120 = $205

Next, we divide the remaining amount by the variable cost per student to find the number of students:

$205 ÷ $2.50 = 82

Therefore, 82 students attended the event.