Jose 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. Jose reserved twice as many small rooms as large rooms, which altogether can accommodate 70 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.
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As provided in following answer
Step-by-step explanation:
Let X = Small Rooms
Let Y = Large Rooms
X Rooms can hold 3 guest = 3 X
Y Rooms can hold 3 guest = 4 X
twice small as compare to large = X =2Y
Total Guest = 70
3X+ 4Y = 70
if replace x = 2y
3(2Y)+ 4Y = 70
6Y+4Y=70
10Y = 70
Y = 70/10= 7 Rooms
X= 2Y= 7X2 = 14 Rooms
3X+4Y = 70
3(14)+4(7) = 70
42 + 28 =70
70 = 70
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