Question

A party of tourists booked a room in a hotel for Rs.1200, three of the members failed to pay, as a result others had to pay Rs.20 more(each). How many tourists were there in the party......
PLEASE ANSWER THE QUESTION CORRECTLY AS SOON AS POSSIBLE...

Answer 1

Answer:

Step-by-step explanation:

Amount for the booking of hotel = 1200 Rs

Let there be x tourists

When all the tourist paid money, its 1200/x

When 3 members failed to pat, its 1200/(x-3)

So, according to the question:

1200/(x-3) - 1200/x = 20

1200x- 1200x + 3600/ x(x-3) = 20

3600= 20*x(x-3)

3600= 20x^2-60x

-20x^2-60x+3600=0

Now, Factor left side of equation.= −20(x+12)(x−15)=0

Therefore, x=-12 or x= 15

Now , number of tourists = -12 is not possible

Therefore, number of tourists is 15

Therefore, there were 15 tourists in the party

Answer 2

Answer:

15 (as explained below)