There are 20%, percent more goblins than wizards in magic club. there are 120 goblins and wizards altogether in magic club. how many goblins are in the magic club?

There are 65 goblins in the club

Step-by-step explanation:

Let number of goblins in the magic club be x

Number of goblins and wizards in the magic club = 120

So, Number of wizards in the magic club be 120 - x

So, Number of goblins = Number of wizards + 20% of number of wizards

⇒ x = 120 - x + 20% of (120 - x)

⇒ x = 120 - x + 0.2·(120 - x)

⇒ 2·x = 120 + 24 - 0.2·x

⇒ 2.2·x = 144

⇒ x = 65.45

Hence, Number of goblins in the magic club = 65

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