Question

At the ritz concert tickets for adults cost $6 and tickets for students cost $4. How many of each ticket were purchased if 480 tickets were bought for $2340?

Answer 1

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