Percent problems

Google Classroom

Problem

There are $20\%$20, percent more goblins than wizards in magic club. There are $120$120 goblins in magic club.

How many wizards are in the magic club?

 wizards

Hint #11 / 4

Since there are $20\%$20, percent more goblins than wizards, the number of goblins is $100\%+20\%=120\%$100, percent, plus, 20, percent, equals, 120, percent of the number of wizards.

Percent means per hundred, so:

$120\%=\dfrac{120}{100}=1.2$120, percent, equals, start fraction, 120, divided by, 100, end fraction, equals, 1, point, 2

That means we can use the expression $\green{1.2w}$start color #28ae7b, 1, point, 2, w, end color #28ae7b to represent the number of goblins.

Hint #22 / 4

Since we know there are $120$120 goblins, we can say that $\green{1.2w}$start color #28ae7b, 1, point, 2, w, end color #28ae7b is equal to $120$120.

$\greenD{1.2w}=120$start color #1fab54, 1, point, 2, w, end color #1fab54, equals, 120

Hint #33 / 4

We can combine like terms and solve for $\maroonD{w}$start color #ca337c, w, end color #ca337c.

$\begin{aligned} 1.2w&=120\\\\ \dfrac{1.2w}{1.2}&=\dfrac{120}{1.2}\\\\ \maroonD{w}&=\maroonD{100} \end{aligned}$

There are $\maroonD{100}$start color #ca337c, 100, end color #ca337c wizards in the club.

Hint #44 / 4

There are $\maroonD{100}$start color #ca337c, 100, end color #ca337c wizards in magic club.