Jayden is blocking off several rooms in a hotel for guests coming to his wedding. The hotel can reserve small rooms that can hol
d 2 people, and large rooms that can hold 3 people. Jayden booked a total of 20 rooms which can accommodate 52 guests altogether. Determine the number of small rooms reserved and the number of large rooms reserved.
If all were small rooms, 40 guests could be accommodated. Each large room accommodates 1 more guest, so there must be 52 -40 = 12 large rooms. The remaining 20 -12 = 8 rooms are small rooms.
Jayden reserved 12 large and 8 small rooms.
__
If you can't think without an equation, let x represent the number of large rooms. Then the number of guests accommodated is ...
3x + 2(20-x) = 52
x + 40 = 52
x = 52 -40 = 12 . . . . . . .number of large rooms
