High School

We appreciate your visit to A movie theater charges 13 for adults and 9 for seniors On a particular day when 336 people paid for admission the total receipts were. 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!

A movie theater charges $13 for adults and $9 for seniors. On a particular day, when 336 people paid for admission, the total receipts were $3268.

How many adults and how many seniors attended the movie theater that day?

Answer :

Final answer:

To solve this problem, we can set up a system of equations and use substitution to find the number of adult and senior tickets sold.

Explanation:

To solve this problem, we can set up a system of equations. Let's say the number of adult tickets sold is 'a' and the number of senior tickets sold is 's'. We know that the total number of admissions is 336, so we can write the equation a + s = 336. We also know that the total receipts were $3268, so we can write the equation 13a + 9s = 3268.

To solve the system of equations, we can use substitution or elimination. Let's use substitution:

  1. Take the first equation, a + s = 336, and solve for a: a = 336 - s
  2. Substitute this expression for a in the second equation: 13(336 - s) + 9s = 3268
  3. Distribute 13: 4368 - 13s + 9s = 3268
  4. Combine like terms: 4368 - 4s = 3268
  5. Subtract 4368 from both sides: -4s = -1100
  6. Divide both sides by -4: s = 275

Now that we know the number of senior tickets sold is 275, we can substitute this value into the first equation to solve for a: a + 275 = 336, a = 61.

So, 61 adult tickets and 275 senior tickets were sold on that day.

Learn more about Solving systems of equations here:

https://brainly.com/question/29050831

#SPJ11

Thanks for taking the time to read A movie theater charges 13 for adults and 9 for seniors On a particular day when 336 people paid for admission the total receipts were. 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!

Rewritten by : Barada