Triple and quadruple rooms

Up to 48 rooms, some of which are triple and some quadruple, accommodated 173 people so that all beds are occupied. How many triple and how many quadruple rooms were there?

Correct result:

a =  19
b =  29

Solution:

a+b=48
3a+4b=173

a+b=48
3•a+4•b=173

a+b = 48
3a+4b = 173

a = 19
b = 29

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