To state: The price of a child’s ticket in dollars if a family with 4 adults and 3 children spends $47 for movie tickets at the theater. Another family with 2 adults and 4 children spends $36.
The price of a child’s ticket is $5.
Given information:
A family with 4 adults and 3 children spends $47 for movie tickets at the theater. Another family with 2 adults and 4 children spends $36.
Explanation:
Let’s assume x as the price of adult’s movie ticket and y as the price of child’s movie ticket.
Consider the statement:
A family with 4 adults and 3 children spends $47 for movie tickets at the theater:
Another family with 2 adults and 4 children spends $36:
The required system is:
Now multiply equation (2) by -2,
Now add equation (1) and (3),
Substitute the value of y as 5 in equation (1),
Thus, the solution is
Therefore, the price of a child’s ticket is $5.
Chapter 3 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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