To rent a building for a school dance, Ava paid $120 plus $2.50 for each student who attended. If she paid a total of $325, how many students attended the dance

To find out how many students attended the dance, we can set up an equation based on the information provided.

1. Let ( x ) be the number of students who attended.
2. Ava paid a base fee of $120 plus $2.50 for each student, which can be expressed as:

[

text{Total cost} = 120 + 2.50x

]
3. We know the total cost was $325, so we can set up the equation:

[

120 + 2.50x = 325

]
4. Subtract $120 from both sides to isolate the term with ( x ):

[

2.50x = 325 – 120

]

[

2.50x = 205

]
5. Now, divide both sides by $2.50 to solve for ( x ):

[

x = frac{205}{2.50}

]

[

x = 82

]

Therefore, the number of students who attended the dance is 82.