Question

Bob works for the circus and on the day he sold 8 adult tickets and 5 child tickets for a total of $180.50. On the second day Bob recieved $261.00 for 12 adult tickets and 6 child tickets. What is the price of a child's ticket and what is the price of an adult's ticket? Show work

Answer 1

The price of an adult's ticket is $18.5 and the price of a child's ticket is $6.5

Explanation:

Let

x ------> the price of an adult's ticket

y -----> the price of a child's ticket

we know that

8x+5y=180.50 ------> equation A

12x+6y=261.00 ------> equation B

Solve the system by graphing

Remember that the solution of the system is the intersection point both graphs

The solution is the point (18.5,6.5)

see the attached figure

therefore

The price of an adult's ticket is $18.5 and the price of a child's ticket is $6.5