Tickets to the zoo cost $4 for children, $5 for teenagers, and $6 for adults. In the high season, 1200 people come to the zoo every day. On a certain day, the total revenue at the zoo was $5300. For every three teenagers, eight children went to the zoo. How many teenagers, children, and adults went to the zoo?

Correct answer:

a =  100
c =  800
t =  300

Step-by-step explanation:

6a + 5t + 4c = 5300
a + t + c = 1200
(8/3)t = c

6•a + 5•t + 4•c = 5300
a + t + c = 1200
(8/3)•t = c

6a+4c+5t = 5300
a+c+t = 1200
3c-8t = 0

a = 100
c = 800
t = 300

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