Accommodated 6380

The hotel has single and double rooms. There are 7 more single rooms than double rooms. How many people are accommodated in double rooms if the hotel is fully booked and has a capacity of 100 people?

Correct answer:

x =  62

Step-by-step explanation:


a=7+b
1a+2b = 100
x = 2b

a=7+b
1·a+2·b = 100
x = 2·b

a-b = 7
a+2b = 100
2b-x = 0

Row 2 - Row 1 → Row 2
a-b = 7
3b = 93
2b-x = 0

Row 3 - 2/3 · Row 2 → Row 3
a-b = 7
3b = 93
-x = -62


x = -62/-1 = 62
b = 93/3 = 31
a = 7+b = 7+31 = 38

a = 38
b = 31
x = 62

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