Ononot — A survey of 120 film viewers was conducted to analyze prefer

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Set Theorymedium

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A survey of $120$ film viewers was conducted to analyze preferences for Horror ( $H$ ), Comedy ( $C$ ), and Drama ( $D$ ):

$15$ viewers liked all three genres.

$40$ liked both Horror and Comedy.

$30$ liked both Comedy and Drama.

$25$ liked both Horror and Drama.

The number of viewers who liked only Horror, only Comedy, and only Drama are all equal.

$10$ viewers liked none of the three. How many viewers in total liked Horror?