An amusement park charges $25 per adult ticket and $15 per child ticket. A group of 10 people paid $180 to enter the park. How many adults were in the group? How many children were in the group? Write a system of equations that model the following situation. Define each variables with a “Let” statement, write two equations, and solve completely.

Let ​ =
# of adults


​Let =
# of children


​Cost:




​# of people:




​

​Solve, then complete the following sentence.

In the group, there were

3
adults and

7
children that went to the amusement park​​.​