Answer
150 rooms without kitchens and 50 with kitchens
Work Step by Step
k = # of rooms with kitchens
w = # of rooms without kitchens
Total amount of rooms = 200
k + w = 200
Each room with kitchen facilities generates 100 (100k)
Each room without kitchen facilities generates 80 (80w)
Total revenue is 17000
100k + 80w = 17000
k + w = 200 can also be written w = 200 - k. Plug this into 100k + 80w = 17000
100k + 80(200 - k) = 17000
100k + 16000 - 80k = 17000
20k = 1000
k = 50
50 rooms with kitchens
Plug k into k + w = 200
50 + w = 200
w = 150
150 rooms without kitchens