If there are 25 people and a profit of $325, we solve the system of equations to find that there were 10 children and 15 adults.
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For our system, we say that:
Total of 25 people, thus:
[tex]x + y = 25 \rightarrow x = 25 - y[/tex]
Profit of $325, thus, considering that each ticket for a child costs $10 and for an adult $15:
[tex]10x + 15y = 325[/tex]
Since [tex]x = 25 - y[/tex]
[tex]10(25 - y) + 15y = 325[/tex]
[tex]5y = 75[/tex]
[tex]y = \frac{75}{5}[/tex]
[tex]y = 15[/tex]
[tex]x = 25 - y = 25 - 15 = 10[/tex]
There were 10 children and 15 adults in the visit.
A similar problem is given at https://brainly.com/question/17096268
