The cost of a movie ticket at a local theater is $6.50 per child under 12 years old and $11.75 per adult. On a given day 3000 people purchased a movie ticket and the ticket costs collected totaled $26000. How many children and how many adults purchased a movie ticket that day? (Rounded to the nearest whole number.)
A) 507 children and 2493 adults
B) 1762 children and 1238 adults
C) 1500 children and 1500 adults
D) 5667 children and 8667 adults
E) 1951 children and 4951 adults

Question

Quizplus · Accepted Answer

Let the number of children be $x$ and the number of adults be $y$. We have two equations: $x + y = 3000$ (total number of people) and $6.5x + 11.75y = 26000$ (total cost of tickets). Solving these equations simultaneously gives us the number of children and adults as 1762 and 1238, respectively.

The Cost of a Movie Ticket at a Local Theater