An adult ticket costs 12$, a childrens ticket costs 8$. The theater wants at least 2720$ and they only have 275 seats. Write a system of inequalities and solve.

Question

Alg 2 homework- lesson 2-9

Answer 1

Let there be x adult tickets sold. So, the number of children's ticket sold will be 275-x.

They want at least $2720.

So, 12x+8(275-x)>(or equal to) 2720

Solving for x we get

x> (or equal to) 130

They must sell at least 130 adult tickets and so < 145 children's ticket