Question

the ratio of the number of confrence rooms to the number of guest rooms in a hotel is 1:4 , if there are 250 rooms in total , find the number of confrence rooms?​

Answer 1

Given :

• The ratio of the number of confrence rooms to the number of guest rooms in a hotel is 1:4 , there are 250 rooms in total.

Have to Find :

• Find the number of confrence rooms?

Solution :

As from the given we know that,

The ratio of rooms is 1 : 4

• Total Number of rooms → 250

Let us we consider the number of conference rooms be ' 1x ' and the number of guest rooms be ' 4x '

Now, According to the Question

$:\implies\sf{1x + 4x = 250}$

$:\implies\sf{5x = 250}$

$:\implies\bf{x = \dfrac{250}{5}}$

$\boxed{\therefore{\sf{x = 50}}}$

Therefore, Now

• Number of conference room = x

• $\longrightarrow$50

• Number of guest rooms = 4x

• $\longrightarrow$4 × 50
• $\longrightarrow$200

Hence, The number of conference rooms are 50.