If a movie ticket for adults costs $4.50 and $2.00 for kids, if 45 people attended and 162.50 dollars worth of tickets were sold, how many adults and children attended?

Okay, we need two equations to solve this

(a will represent adults and k will represent kids)

a + k = 45

a = 45 - k

450a + 200k = 16250

We replace a:

450 (45 - k) + 200k = 16250

20250 - 450k + 200k = 16250

-250k = - 4000

25k = 400

k = 16

45 - 16 = 29

16 kids attended and 29 adults attended