The problem asks to determine the number of students among 80 people who attended a cinema. A student's ticket costs 30 DH, and a normal ticket costs 45 DH. The total revenue for 80 people is 3225 DH.

AlgebraLinear EquationsWord ProblemsProblem Solving
2025/4/27

1. Problem Description

The problem asks to determine the number of students among 80 people who attended a cinema. A student's ticket costs 30 DH, and a normal ticket costs 45 DH. The total revenue for 80 people is 3225 DH.

2. Solution Steps

Let xx be the number of students. Then the number of non-students is 80x80 - x.
The total revenue from students is 30x30x DH, and the total revenue from non-students is 45(80x)45(80 - x) DH.
The total revenue is given as 3225 DH.
So we can write the equation:
30x+45(80x)=322530x + 45(80 - x) = 3225
30x+360045x=322530x + 3600 - 45x = 3225
15x=32253600-15x = 3225 - 3600
15x=375-15x = -375
x=37515x = \frac{-375}{-15}
x=25x = 25
Therefore, the number of students is
2
5.

3. Final Answer

There were 25 students.

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