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There are 20% percent more goblins than wizards in magic club. There are 220 goblins and wizards altogether in magic club. How many goblins are in the magic club?

2 Answers

3 votes

There are 100 wizards in magic club. Is what khan academy says.

User Garret
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Answer:

Number of goblins in the magic club = 120

Explanation:

Let number of goblins in the magic club be x

Number of goblins and wizards in the magic club are given to be 220

So, Number of wizards in the magic club be 220 - x

There are 20% percent more goblins than wizards in magic club.

⇒ Number of goblins = Number of wizards + 20% of number of wizards

⇒ x = 220 - x + 20% of (220 - x)

⇒ x = 220 - x + 0.2·(220 - x)

⇒ 2·x = 220 + 44 - 0.2·x

⇒ 2.2·x = 264

⇒ x = 120

Therefore, Number of goblins in the magic club = 120

User Rene Korss
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