Question

some invitees at the annual party wore a tie,some wore a bowtie.The ratio of invitees who had a tie to the total number of invitees was 2:5 .if there were 27 invitees who wore a bowtie, how many invitees were at the annual party.​

Answer 1

45 invitees were at the annual party.​

Explanation:

Given : The ratio of invitees who had a tie to the total number of invitees was 2:5. If there were 27 invitees who wore a bow tie.

To find : How many invitees were at the annual party ?

Solution :

Let the ratio be 'x'.

The number of invitees wearing tie = 2x

Total number of invitees = 5x

So, the number of invitees wearing bow tie = 5x-2x=3x.

The ratio of number of invitee wearing bow tie and number of invitees is 3:5.

Let y be the number of invitees at the annual party be 'y'

According to question,

`(3)/(5)=(27)/(y)`

`y=(27* 5)/(3)`

`y=45`

Therefore, 45 invitees were at the annual party.​