CPM Homework Help : AC Problem 11-8

When a family with two adults and three children bought tickets for an amusement park, they paid a total of $$56.50$ . The next family in line, with four children and one adult, paid $$49.50$ . Find the adult and child ticket prices by writing and solving a system of equations.

Hint 1:

Write an equation for each family, where $x=\text{the price per adult}$ and $y=\text{the price per child}$ .

Hint 2:

The equation for the first family is: $2x + 3y = 56.50$
Write the equation for the other family and solve the system.