The tickets for a high school basketball game are $2.75 for students and $4.00 for adults. At Tuesday night's game, 132 tickets were sold for a total of $428.00. How many student tickets were sold?

Question

pfenn1 · Answer

Let x= number of student tickets sold.  Then number of adult tickets sold =132-x.  

The total cost of the tickets ($428.00) is equal to the cost of the student tickets ($2.75) times the number of student tickets sold(x) plus the cost of the adult tickets ($4.00) times the number of adult tickets sold (132-x).  

We can write that mathematically as$$428.00=2.75x+4.00(132-x)$$ Solve for x.