Jayden is blocking off several rooms in a hotel for guests coming to his wedding. the hotel can reserve small rooms that can hold 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.

Step-by-step explanation:

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.

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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

  (20-x) = 20-12 = 8 . . . . number of small rooms

if x decreases by 4 then y increases by 10

step-by-step explanation:

no this is a nonlinear negative