Question

A group wants to visit a water park over the summer. Tickets cost $10 for each child and 15 for each adult

Answer 1

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:

• x is the number of children.
• y is the number of adults.

Total of 25 people, thus:

$x + y = 25 \rightarrow x = 25 - y$

Profit of $325, thus, considering that each ticket for a child costs $10 and for an adult $15:

$10x + 15y = 325$

Since $x = 25 - y$

$10(25 - y) + 15y = 325$

$5y = 75$

$y = \frac{75}{5}$

$y = 15$

$x = 25 - y = 25 - 15 = 10$

There were 10 children and 15 adults in the visit.

A similar problem is given at https://brainly.com/question/17096268