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?

a =  19
b =  29

### Step-by-step explanation:

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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