Question

Adult tickets for a concert were $5 each and student tickets

were $2 each. A total of 980 tickets, worth $3460, were sold.
How many adult tickets were sold?

Answer 1

500 adult tickets

Explanation:

Let adult and student tickets be x and y.

The number equation is

x + y = 980

The value equation is

5x + 2y = 3460

Let's multiply the first by two and subtract it from the second...

5x + 2y = 3460

-(2x + 2y = 1960)

and we get

3x = 1500

x = 500 adult tickets

y = 480 student tickets