Evelyn is blocking off several rooms in a hotel for guests coming to her wedding. The hotel can reserve small rooms that can hold 3 people, and large rooms that can hold 5 people. Evelyn reserved 2 more small rooms than large rooms, which altogether can accommodate 54 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.

Let s=

\,\,\text{the number of small rooms reserved}

the number of small rooms reserved

{Let }l= {the number of large rooms reserved

Let l=the number of large rooms reserved

Each small room can accommodate 3 guests, so ss small rooms can hold 3s3s guests. Each large room can accommodate 5 guests, so ll large rooms can hold 5l5l guests. Therefore, the total number of guests accommodated 3s+5l3s+5l equals 54:54:

3s+5l=54

3s+5l=54

Since Evelyn reserved 2 more small rooms than large rooms, if we add 2 to the number of large rooms, we will get the number of small rooms, meaning ss equals l+2.l+2.

s=l+2

s=l+2

{Write System of Equations:}

Write System of Equations:

3s+5l= 54

s=l+2

Step-by-step explanation:

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step-by-step explanation: