Answer:
6 adult tickets, 4 children tickets
Explanation:
Let a = number of adult tickets.
Let c = number of children tickets.
Equation of numbers of tickets:
a + c = 10
Equation of cost of tickets.
8a + 2.5c = 58
Multiply both sides of the first equation by -8 and add it to the second equation.
-8a - 8c = -80
(+) 8a + 2.5c = 58
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-5.5c = -22
c = 4
a + c = 10
a + 4 = 10
a = 6
Answer: 6 adult tickets, 4 children tickets