Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Get immediate answers to your questions from a wide network of experienced professionals on our Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.
Sagot :
Using a system of equations, it is found that 41 regular and 53 sleeper seat tickets were sold.
What is a system of equations?
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable x: Regular coach seats.
- Variable y: Sleeper cars seats.
94 passengers rode in a train from City A to City B, hence:
[tex]x + y = 94[/tex]
Tickets for regular coach seats cost 115$. Tickets for sleeper cars seats cost 281$. The receipts for the trip totaled 19,608$, hence:
[tex]115x + 281y = 19608[/tex]
From the first equation, x = 94 - y, hence, replacing on the second.
[tex]115x + 281y = 19608[/tex]
[tex]115(94 - y) + 281y = 19608[/tex]
[tex]166y = 8798[/tex]
[tex]y = \frac{8798}{166}[/tex]
[tex]y = 53[/tex]
[tex]x = 94 - y = 94 - 53 = 41[/tex]
Hence, 41 regular and 53 sleeper seat tickets were sold.
To learn more about system of equations, you can take a look at https://brainly.com/question/14183076
Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.
