tickets to a baseball game are $7 for adults and $5 cheaper for student. if 120 tickets were to the for $465, how many student went to the game

Let a = # of adults and c = # of children

a = 120 - c

7a + 2c = 465

Substitute 120-c for a in second equation and solve for c. Insert that value into the first equation and solve for a. Check by inserting both values into the second equation.