Math Problem Statement

The local theater is showing a matinee and offering a special deal for the community. A ticket for an adult costs $11, and a ticket for a child costs $6. The theater sells a total of 60 tickets and collects $460. How many adult tickets and children tickets are sold?

Solution

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The problem gives us:

  1. The total number of tickets sold is 60, so the equation is: x+y=60x + y = 60
  2. The total revenue from the tickets sold is $460. With adult tickets priced at $11 and child tickets priced at $6, the equation is: 11x+6y=46011x + 6y = 460

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Math Problem Analysis

Mathematical Concepts

Algebra
Systems of Linear Equations

Formulas

x + y = Total tickets
11x + 6y = Total revenue

Theorems

Method of Substitution
Method of Elimination

Suitable Grade Level

Grades 7-10

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