Answer: the number of adult tickets sold is 206
the number of student tickets sold is 103
Step-by-step explanation:
Let x represent the number of adult tickets sold.
Let y represent the number of student tickets sold.
Tickets for the concert were sold to adults for $3 and to students for $2. The total receipts were $824 This means that
3x + 2y = 824 - - - - - - - - - -1
The total number of tickets sold is 309. This means that
x + y = 309 - - - - - - - - - -2
Multiplying equation 1 by 1 and equation 2 by 3, it becomes
3x + 2y = 824
3x + 3y = 927
Subtracting
-y = -103
y = 103
Substituting y = 103 into equation 2, it becomes
x = 309 - y = 309 - 103
x = 206
