Math, asked by anandabhijeet767, 1 month ago

the hotel bill for a number of a people for an overnight stay is rs 4800. If there were 4 more, the bill each person had to pay would have reduce by 200. Find the number of people staying overnight.

Answers

Answered by chaitanykulkarni387
1

Answer:

Let the number of people staying overnight be x.

For x people, the hotel bill =Rs.4800

For 1 person, the hotel bill =

x

4800

When 4 people were more, the hotel bill =

x+4

4800

The bill paid by each person is reduced by Rs.200.

Therefore,

x

4800

x+4

4800

=200

x(x+4)

4800(x+4)−4800x

=200

4800x+19200−4800x=x

2

+4x=

200

19200

=96

x

2

+4x−96=0

Using

2a

−b±

b

2

−4ac

to find the roots of the equation

⇒x=

2×1

−4±

(4)

2

−4×1×(−96)

⇒x=

2

−4±

400

⇒x=

2

−4±20

x=8, x=−12

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