Q:

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?

Accepted Solution

A:
Answer:Number of goblins in the magic club = 120Step-by-step explanation:Let number of goblins in the magic club be xNumber of goblins and wizards in the magic club are given to be 220So, Number of wizards in the magic club be 220 - xThere 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 = 120Therefore, Number of goblins in the magic club = 120