Question

A theatre sells a total of 450 Children’s Tickets (x) for $4, Senior Tickets (y) for $7, and Adult Tickets (z) for $9 and collect $3,250.

The number of Children’s tickets sold is 55 more than the number of Senior Tickets.

Answer 1

• M = 55
• Children's: 130
• Senior: 75
• Adult: 245

Explanation:

You want the equation representing the relation between Children's tickets and Senior tickets, and the solution to the problem if ...

• a total of 450 tickets were sold
• ticket revenue from $4, $7, and $9 tickets was $3250
• 55 more Children's ($4) tickets were sold than Senior ($7) tickets

Matrix

The augmented matrix for the problem, and its solution, are shown in the attachment.

• M = 55
• Children's: 130
• Senior: 75
• Adult: 245

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