Fatoumata is blocking off several rooms in a hotel for guests coming to her wedding. The hotel can reserve small rooms that can hold 2 people, and large rooms that can hold 5 people. Fatoumata reserved twice as many small rooms as large rooms, which altogether can accommodate 63 guests. Write a system of equations that could be used to determine the number of small rooms reserved and the number of large rooms reserved. Define the variables that you use to write the system. Answer Attempt i out of 2 Let System of Equations:

Let \( s \) represent the number of small rooms reserved and \( l \) represent the number of large rooms reserved. Based on the problem statement, we can create the following system of equations: 1. The first equation states that the total number of guests accommodated by the rooms is 63: \( 2s + 5l = 63 \) 2. The second equation expresses that Fatoumata reserved twice as many small rooms as large rooms: \( s = 2l \) Now, you have a system of equations to solve for \( s \) and \( l \)! Additionally, it’s quite common to make a quick sketch of the scenario, imagining the wedding and how the rooms fit together. Visualizing the setup might help prevent confusion with numbers—turning math into a fun party planning game! Remember, small rooms are like cozy nooks, while large ones are the grand dance halls where the celebrations happen! For anyone interested in the dynamics of room allocation beyond this scenario, researching combinatorial optimization can provide deeper insights. Books and resources on operations research often highlight real-world applications similar to this, giving you nifty tools for planning functions!