Concept explainers
To find:the number of single tickets and couple tickets sold.
Answer to Problem 2P
The number of single tickets and couple tickets sold are 16 and 56, respectively.
Explanation of Solution
Given information:
The cost of each single ticket and each couple ticketare $20 and $35, respectively.
The total cost of ticket sales is $2280 and total number of attended people is 128.
Calculation:
Let x be a number of single tickets sold.
Let y be a number of couple tickets sold.
The total number of attended people is 128, so that
The total cost of ticket sales is $2280 and the cost of each single tickets and couple tickets are $20 and $35, respectively.
It can be converted into linear equation as
Compute the solutions of the system
Find the linear combination that eliminates the variable y .
Multiply the first equation by
Add the equation (2) and (3).
Divide on both sides by
Substitute
Therefore, the number of single tickets and couple tickets sold are 16 and 56, respectively.
Chapter 3 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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