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1593 concert tickets were sold for a total of $22,491. If students paid $11 and nonstudents paid $17, how many student tickets were sold?

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6 votes
Answer:

765 student tickets were sold

Step-by-step explanation:

Let the number of student tickets be represented by x

Let the number of nonstudent tickets be represented by y

1593 concert tickets were sold

x + y = 1593....................(1)

The total amount made = $22491

Cost of each student ticket = $11

Cost of each nonstudent ticket = $17

This can be interpreted mathematically as:

11x + 17y = 22491...............(2)

Mulitipy equation (1) by 17

17x + 17y = 27081...........(3)

Subtract equation (2) from equation (3)

6x = 4590

x = 4590/6

x = 765

765 student tickets were sold

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