Question

A theater charges extra adult tickets and wife for child tickets for adult tickets and three child tickets cost $156.03 adult tickets in for child tickets cost 145 right and solve a system of equations to find the adult and child ticket prices

Answer 1

To solve the system of equations, we can use the elimination method. The adult ticket price is $52.01 and the child ticket price is $30.99.

Step-by-step explanation:

To solve this problem, we can set up a system of equations.

Let's assume that the price of an adult ticket is x, and the price of a child ticket is y.

From the given information, we know that:

1. 3x + 3y = 156.03 (equation 1)
2. x + 3y = 145 (equation 2)

We can solve this system of equations by substitution or elimination. Let's use the elimination method:

1. Multiply equation 2 by 3 to make the coefficient of y the same in both equations.
2. Subtract equation 1 from equation 2 to eliminate y.
3. Solve for x.
4. Substitute the value of x into equation 2 to solve for y.

After solving, we find that the price of an adult ticket is $52.01 and the price of a child ticket is $30.99.