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 6 people. Hudson booked a total of 19 rooms which can accommodate 87 guests altogether. 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 1

S = small rooms

L = large rooms

Hudson booked a total of 19 means:

S + L = 19

Which can accommodate 87 guests altogether means:

Small rooms can accommodate 3 people

Large rooms can accommodate 6 people

so

3 S + 6 L = 87

Your system is:

S + L = 19

3 S + 6 L = 87
___________

The solution is:

S = 9 , L = 10

Answer 2

Thanks!