Question

A school band performs a spring concert for a crowd of 600 people. the revenue for the concert is $3150. there are 150 more adults at the concert than students. how many of each type of ticket are sold?

Answer 1

In this item, we let the number of tickets sold to the adults as x. With this, we can let the number of tickets sold to students with y. 

In this item, we are given that the sum of the number of students and adults is equal to 600. Further, we are also given that the difference is 150. The system of linear equation that would allow us to solve this item is,

               x + y = 600
               x - y = 150

Adding up the two equations will give us,
              2x = 750
Dividing by 2,
              x = 375

Substituting this value to the first equation,
          375 + y = 600
                 y = 225

Therefore, there are 375 and 225 number of tickets sold to adults and students, respectively.