Question

A total of 328 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was three times the

number of adult tickets sold. How many adult tickets were sold?

Answer 1

246 adult tickets were sold

Explanation:

System of equations:

Variables:

x = number of adult tickets sold

y = number of student tickets sold

There were a total of 328 tickets sold, thus:

x + y = 328

The number of student tickets sold was three times the number of adult tickets sold, thus:

y = 3x

Substituting in the first equation:

x + 3x = 328

Simplifying:

4x = 328

Dividing by 4:

x = 328/4

x = 82

y = 3*82= 246

246 adult tickets were sold