Question

Admission prices at a football game were $5 for adults and $ 2 for children.

The total value of the tickets sold was $2520, and 654 tickets were sold. How many adult

tickets and how many child tickets were sold?

Show all six steps.

Answer 1

404 adult tickets were sold, and 250 child tickets.

Explanation:

This question can be solved by a system of equations.

I am going to say that

x is the number of adult tickets sold.

y is the number of child tickets sold.

654 tickets were sold.

This means that

`x + y = 654`

`y = 654 - x`

Admission prices at a football game were $5 for adults and $ 2 for children. The total value of the tickets sold was $2520.

This means that

`5x + 2y = 2520`

Since
`y = 654 - x`

`5x + 2(654 - x) = 2520`

`5x + 1308 - 2x = 2520`

`3x = 1212`

`x = (1212)/(3)`

`x = 404`

`y = 654 - x = 654 - 404 = 250`

404 adult tickets were sold, and 250 child tickets.