Question 821376: What is answer for the price of each student and senior ticket when the equation reads: The school that Lisa goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 senior citizen tickets and 5 student tickets for a total of $102. The school took in $126 on the second day by selling 7 senior citizen tickets and 5 student tickets What is the price each of one senior citizen ticket and one student ticket?
Answer by josgarithmetic(39623)   (Show Source):
You can put this solution on YOUR website! Find the data from the description.
You are interested in how many of each ticket was sold, the amount of revenue for each day, and the ticket prices, such prices being the variables.
Senior Ticket: H dollars per ticket
Student Ticket: L dollars per ticket
Day 1:
4 senior tickets and 5 student tickets and revenue $102.
4H+5L=102, and check to understand how the units work in the summed terms.
Day 2:
7H+5L=126
The system of simultaneous equations to solve is:
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4H+5L=102
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7H+5L=126
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The problem description is designed for easy use of the Elimination Method so you can just subtract the first day equation from the second day equation, eliminating the "5L" term, allowing for easily solving for H.
'
(7H+5L)-(4H+5L)=126-102
7H+5L-4H-5L=24
3H+0=24
H=8
Pick EITHER equation to solve for L, now knowing that H=8.
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