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

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.​

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Rylee 19 mins 2021-10-14T01:05:43+00:00 1 Answer 0

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    2021-10-14T01:07:12+00:00

    Answer:

    45 invitees were at the annual party.​

    Step-by-step 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,

    \frac{3}{5}=\frac{27}{y}

    y=\frac{27\times 5}{3}

    y=45

    Therefore, 45 invitees were at the annual party.​

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