Juliet sold a house for $112,000. What percent commission did she receive if she earned $6,720?

1 Answer
Dec 8, 2016

Juliet received a 6% commission.

Explanation:

We can rewrite this question as:

$6,720 is what percent of $112,000?

Let's let the percentage we are looking for be represent by #p#.

"Percent" or "%" means "out of 100" or "per 100", Therefore p% can be written as #p/100#.

When dealing with percents the word "of" means "times" or "to multiply".

Putting this altogether we can write this equation and solve for #n# while keeping the equation balanced:

#6720 = p/100 xx 112000#

#100/112000 xx 6720 = 100/112000 xx p/100 xx 112000#

#672000/112000 = cancel(100)/cancel(112000) xx p/cancel(100) xx cancel(112000)#

#p = 6#