Tourist cottage

The tourist cottage has 11 rooms for 16 guests. Some of them are doubles, some singles. How many are double rooms and how many are single rooms?

Correct answer:

a =  5
b =  6

Step-by-step explanation:


11 = a+b
2a+1b = 16

11 = a+b
2·a+1·b = 16

a+b = 11
2a+b = 16

Pivot: Row 1 ↔ Row 2
2a+b = 16
a+b = 11

Row 2 - 1/2 · Row 1 → Row 2
2a+b = 16
0.5b = 3


b = 3/0.5 = 6
a = 16-b/2 = 16-6/2 = 5

a = 5
b = 6

Our linear equations calculator calculates it.



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