a theater wants to take in at least $2000 for a certain matinee. children's tickets cost $5 each and adult tickets cost $10 each. the theatre can seat up to 350 people. find five combinations of children and adult tickets that will make their goal.

Answer 1

number of adults --- x
number of children -- 350-x

10x + 5(350-x) ≥ 2000
5x ≥ 250
x ≥ 50

so just pick any 3 values of x so that x ≥ 50 but ≤ 350

e.g. x = 60,
number of adults = 60
number of kids = 290
take in = 10(60) + 5(290) = 2050 , that works

you pick 2 more