Accommodation 7035

Fifty-nine pupils from the seventh grade of the primary school will go to the ski training course. They will live in three-bed and four-bed rooms at the mountain hut. The capacity of the hut will be filled entirely. The cottage has a total of 17 rooms ready for accommodation. Which are how many rooms?

Correct answer:

a =  9
b =  8

Step-by-step explanation:


3a+4b = 59
a+b = 17

3·a+4·b = 59
a+b = 17

3a+4b = 59
a+b = 17

Row 2 - 1/3 · Row 1 → Row 2
3a+4b = 59
-0.33b = -2.67


b = -2.66666667/-0.33333333 = 8
a = 59-4b/3 = 59-4 · 8/3 = 9

a = 9
b = 8

Our linear equations calculator calculates it.



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