Question

at the museum, the admission price for children is $9 and the admission price for adults is $18. The total amount the museum collects for admissions for the day is $4959. the total number of visitors is 319. Let x be the number of children and let y be the number of adults. What is the system?

Answer 1

Let a and c represent the numbers of adult and children's tickets sold, respectively. The system of equations will have one equation for revenue and one equation for number of tickets.

The revenue equation is
18a +9c = 4959
The number of tickets equation is
a + c = 319

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The solution can be found any number of ways. It is
(a, c) = (232, 87)