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
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
Similar questions