For a particular event 835 tickets were sold for a total of

For a particular event, 835 tickets were sold for a total of $3343. If student paid $3 per ticket and nonstudents paid $5 per ticket, how many student tickets were sold? Student tickets were sold.

Solution

Suppose total student = x

then, non-student = 835 - x

given that:

x*3 + 5*(835 - x) = 3343

3x + 5*835 - 5x = 3343

2x = 5*835 - 3343

x = (5*835 - 3343)/2 = 416 students