Question

There are 20\%20%20, percent more goblins than wizards in magic club. There are 120120120 goblins in magic club. How many wizards are in the magic club?

Answer 1

There are 100 wizards in the magic club.

Explanation:

Let the number of wizards be represented by w

Number of goblins (g) = 120

Number of goblins (g) is more than number of wizards (w) by 20%

g = w + 20%w

120 = w + 0.2w

120 = 1.2w

w = 120/1.2 = 100 wizards

Answer 2

100

Explanation:

We know that there are more goblins than magicians, by 20%.

Thus

be magicians M and goblins G, we have to:

G = 1 * M + 0.2 * M

G = 1.2 * M

M = G / 1.2

Therefore, knowing that in there are a total of 120 elves, replacing:

M = 120 / 1.2

M = 100

So there are 100 magicians in total in the club