Question

hudson is blocking off several rooms in a hotel for guests coming to his wedding. the hotel can reserve small rooms that can hold 3 people, and large rooms that can hold 4 people. hudson reserved twice as many large rooms as small rooms, which altogether can accommodate 66 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 1 out of 2 let \\(\square = \\). let \\(\square = \\). system of equations:

Explanation:

Step1: Define Variables

Let \( x \) = number of small rooms, \( y \) = number of large rooms.

Step2: Relate Large to Small Rooms

Since large rooms are twice small rooms: \( y = 2x \).

Step3: Total Guests Equation

Small rooms hold 3, large 4, total 66: \( 3x + 4y = 66 \).

Answer:

Let \( x \) = the number of small rooms reserved
Let \( y \) = the number of large rooms reserved

System of Equations:
\( y = 2x \)
\( 3x + 4y = 66 \)