Question

The seating capacity of a theater is 250. Tickets are $3 for children and $5 for adults. The theater must take in at least $1100 per performance. Express this information as a system of inequalities. (Let the x refer to the number of children's tickets and the y refer to the number of adult tickets.)

Answer 1

x + y ≤

3x + 5y ≥ 1100

Explanation:

Given:

Seating capacity of theater = 250

Cost of each child ticket = $3

Cost of each adult ticket = $5

Cost per performance = $1100 at least

Find:

System of inequalities

Computation:

Let;

x = Number of children's tickets

y = Number of adult tickets

So

x + y ≤

3x + 5y ≥ 1100