Question

If tickets for a show cost 2.00 for adults and 1.50 for children, how many of each kind of tickets were sold if 300 tickets were sold for 525.

Answer 1

The number of adult tickets sold was 150 and the number of children tickets sold was 150

Explanation:

Let

x -------> the number of adult tickets sold

y -------> the number of children tickets sold

we know that

The system of equations that represent this scenario is

x+y=300 -----> equation A

2.00x+1.50y=525 ------> 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 (150,150)

see the attached figure

therefore

The number of adult tickets sold was 150 and the number of children tickets sold was 150