Hotel rooms

In the 45 rooms, there were 169 guests, some rooms were three-bedrooms and some five-bedrooms. How many rooms were?

Correct result:

a =  28
b =  17

Solution:

a+b = 45
3a + 5b = 169

a+b = 45
3•a + 5•b = 169

a+b = 45
3a+5b = 169

a = 28
b = 17

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