Question

$9099 worth of tickets are sold to a football game. Adult tickets are eight dollars a person. Student tickets are six dollars a person. Children tickets are five dollars a person. 102 more adult tickets are sold in student tickets two times more student tickets were sold in children tickets how many children tickets were sold

Answer 1

The Answer is: Adult Tickets: 604 ; Student Tickets: 502 ; Children Tickets: 251.

Explanation:

8a + 6s + 5c = $9,099

Let s = students. Let adult = s + 102. Let children = s/2

Substitute and solve for s (Number of Student Tickets):

8(s + 102) + 6s + 5(s/2) = 9099

8s + 816 + 6s + 5s/2 = 9099

14s + 5s/2 = 9099 - 816

14s + 5s/2 = 8283

28s + 5s = 16566

33s = 16566

s = 502 , so there are 502 student tickets.

Add 102 to get the number of Adult tickets: 604.

Divide by 2 to get the number of children tickets: 251.

Proof:

8(502 + 102) + 6(502) + 5(251) =

8(604) + 6(502) + 5(251) =

$4,832 + $3,012 + $1,255 = $9,099