Accommodated 25881

Fifty-one students are accommodated in the tourist hostel in 15 four-bed and three-bedrooms. How many rooms are there if there are 2 spaces left after housing?
a) There are four-bed rooms.
b) There are three-bed rooms.

Correct answer:

a =  8
b =  7

Step-by-step explanation:


15 = a+b
51+2 = 4a+3b

15 = a+b
51+2 = 4·a+3·b

a+b = 15
4a+3b = 53

Pivot: Row 1 ↔ Row 2
4a+3b = 53
a+b = 15

Row 2 - 1/4 · Row 1 → Row 2
4a+3b = 53
0.25b = 1.75


b = 1.75/0.25 = 7
a = 53-3b/4 = 53-3 · 7/4 = 8

a = 8
b = 7

Our linear equations calculator calculates it.



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