The student council is sponsoring a concert as a fundraiser. Tickets are $3 for student and $5 for adults. The student council wants to raise at least $1000. If 200 students attend, how many adults must attend? Write and solve an inequality

Respuesta :

Answer:

Inequality is 3x + 5y ≥ 1000

At least 80 adults must attend the fundraiser.

Step-by-step explanation:

Let the number of students = x and the number of adults = y.

Also, each adult and student ticket is sold for $5 and $3.

Since, the student council wants to raise at least $1000.

The inequality representing the situation is,

3x + 5y ≥ 1000

We have total number of students attended the fundraiser are 200. So, x = 200.

That is,

3×200 + 5y ≥ 1000

i.e. 600 + 5y ≥ 1000

i.e. 5y ≥ 1000 - 600

i.e. 5y ≥ 400

i.e. y ≥ 80

Thus, we get that at least 80 adults must attend the fundraiser.