Question

A radio station is giving away tickets to a play. They planto give away tickets for seats that cost RM15 and RM25.They want to give away at least 30 tickets. The total costof all the tickets given away is not more than RM600. (a)Write two linear inequalities other then x more than or equal to 0 and y more than or equal to 0,which represent the situation

Answer 1

A.

x tickets cost $15 each

y tickets cost $25 each

they want to give away at least 30 tickets

x + y ≥ 30

Total cost = no more than $600

15x +25y ≤ 600

Linear inequalities:

x + y ≥ 30

15x +25y ≤ 600

b.

The region that satisfies the system is the area composed of both blue and red areas.

C. both lines cross each other at (15,15)

x = minimum 15 tickets

y= minimum 0 tickets