The drama club sold a total of 360 adult and student tickets for the school play. Charging $5 for each adult ticket and $3 for each student ticket, they collected $1,360 from ticket sales. How many student tickets did the drama club sell?

220

Explanation:

Let us assume the adult ticket be X

And, the student ticket be Y

So, the first equation is

X + Y = 360

So, Y = 360 - X

Now the second equation is

5X + 3Y = $1,360

Now put the Y value to the above equation

5X + 3 × (360 - X) = $1,360

5X +  1,080 - 3X = $1,360

2X = $1,360 - $1,080

2X = $280

X = 140

Now the X + Y = 360

So, Y equal to

= 360 - 140

= 220