Answer: the number of adult tickets is 210
The number if student tickets is 270
Step-by-step explanation:
Let x represent the number of adult tickets that were purchased.
Let y represent the number of student tickets that were purchased.
At the ritz, concert tickets for adults cost $6 and tickets for students cost $4. If the cost of total tickets purchased is $2340, then,
6x + 4y = 2340 - - - - - - - -1
Total number of tickets purchased is 480. This means that
x + y = 480
x = 480 - y
Substituting x = 480 - y into equation 1, it becomes
6(480 - y) + 4y = 2340
2880 - 6y + 4y = 2340
- 6y + 4y = 2340 - 2880
-2y = - 540
y = - 540/-2 = 270
x = 480 - 270
x = 210
