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?
178
130
48
82
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
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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.