Solve the problem. An accountant checks the reported earnings for a concert venue for three different performers against the number of tickets sold.

Performer	Children Tickets	Student Tickets	General Admission	Total Revenue
1	1,000	250	1,000	$24,750
2	400	300	300	$10,700
3	400	300	300	$8,700

Let x, y, and z represent the cost for children tickets, student tickets, and general admission tickets, respectively. Set up an augmented matrix for the system and solve for x, y, and z. Explain what the accountant knows about the reported earnings.

Select one:

a. {(8, 8, 17)}; There were $8 children's tickets, $8 student tickets, and $17 general admission tickets sold.

b. { }; The system of equations reduces to a contradiction. There are no values for x, y, and z that can simultaneously meet the conditions of this problem.

c. {(7, 7, 16)};There were $7 children's tickets, $7 student tickets, and $16 general admission tickets sold.

d. {(6, 6, 15)}; There were $6 children's tickets, $6 student tickets, and $15 general admission tickets sold.