We appreciate your visit to A movie theater charges 9 for adults and 7 for senior citizens On a day when 325 people paid admission the total receipts were 2504. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Final answer:
The movie theatre had 114 adults and 211 seniors in attendance, based on solving a system of linear equations with the given total number of attendees and revenue.
Explanation:
As per a system of linear equations, it can be determined how many senior citizens and adults attended the movie on a particular day when the total number of attendees was 325 and the total receipts were $2504, with the cost of admission being $9 for adults and $7 for seniors.
- Let A be the number of adults and S be the number of seniors.
- We have two equations based on the given information: A + S = 325 (total number of people) and 9A + 7S = 2504 (total revenue).
- To solve for two unknowns, we can use the substitution method, elimination method, or matrix method. For simplicity, we will use the elimination method.
- Multiply the first equation by 7 to align the senior's term with the second equation: 7A + 7S = 2275. Now, we have 7A + 7S = 2275 and 9A + 7S = 2504.
- Subtract the transformed first equation from the second equation to eliminate the seniors' term: (9A + 7S) - (7A + 7S) = 2504 - 2275. This simplifies to 2A = 229, resulting in A = 114.5. Because the number of attendees must be a whole number, we round down to A = 114.
- Substitute A = 114 into the first equation: 114 + S = 325, which gives us S = 211.
- We find that there were 114 adults and 211 seniors.
Thanks for taking the time to read A movie theater charges 9 for adults and 7 for senior citizens On a day when 325 people paid admission the total receipts were 2504. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
