Graph and Solve for the linear inequality

Question

Tickets in a play cost 250 pesos for adults and 200 pesos for children. The sponsor of the show collected a total amount not more than 44 000 pesos from more than 150 adults and children who watched the play.

Answer 1

250*x + 200*y < 44000

x + y > 150

You'll need to rewrite both equations into slope-intercept form so you can graph them easily.

250*x + 200*y < 44000

200*y < -250*x + 44000

y < (5/4)*x + 220

 

x + y > 150

y > -x + 150

 

You'll need to shade the appropriate side of each line. Where the two shading intersect, then that's where you find your possible solutions.