Hello,
I am a Secondary Two student, attending an English Private School and I have a Situational Problem Exam in two days. So, I seriously need help, like quickly! 😭
I'm having problem with a Situational Problem assigned by my math teacher, a few days ago. And am feeling kind of lost, despite having a tutor. The word-problem is called "End of Year Battle of the Bands". The problem specifies that the student council hosts this event ONLY for Secondary One and Two students. There are three venues, of which are important, and three bands of which perform at their own different costs.
The following details must be considered;
- Concert locations (3 venues)
- Student interest (3 bands)
- Ticket Price (3 Different prices)
The task is to determine which location (AKA venue) can accommodate each band, based on student interest and spectator capacity for each location. And, to determine the ticket price for each individual band.
I am currently stuck on the Location (Venue) part. More specifically, the one titled "Football Endzone". I'll take a photo of the worksheet and my answers, as proof as to where I am, right now.



Explanation from Alloprof
This Explanation was submitted by a member of the Alloprof team.
Hi FlamantRose769,
Thank you for your question! 😊
You did a great job with the beginning of this section!
First, we have our two variables: L for the length and W for the width. Since we know that the perimeter is four times that of the stage, your first equation, 108 = 2(L + W), is correct.
However, because we have two variables, we’ll need a second equation to solve for L and W. The last part of the section gives us the information we need: "The length of the endzone is 6 less than 5 times the width." If you translate this sentence into an equation, you will have your two equations that will allow you to find the value of L and W.
To help you out with this step, here's a webpage that explains how to solve systems of equations, with examples that might be useful: https://www.alloprof.qc.ca/en/students/vl/mathematics/general-methods-for-solving-equations-m1452
Don't hesitate to reach out if you have more questions! 😊
Sandrine