A Realtor earns a commission of 5.5% on the sale of a house. If the commission the Realtor earned was $22,000, for how much was the house sold? Will I have to make an equation? And if so, what should it be?

Question

anonymous · Answer

Yes, it will be 5.5/100=22,000/x
5.5x=2200000
x=400,000
The house was sold for 400,000

anonymous · Answer

@Veelution so its 5.5 divided by 100 = 22,000 divided by x?

anonymous · Answer

yes

anonymous · Answer

@veelution what do I do to get 5.5x = 200,000? What happens to the 100?

phi · Answer

5.5% of Sales Price = 22,000
let x be the sales price
$$ \frac{5.5}{100} x = 22000 $$
multiply both sides by 100
$$ \cancel{100}\cdot \frac{5.5}{\cancel{100}} x= 2,200,000 $$

phi · Answer

to find x, divide both sides by 5.5

if you do not like decimals,  first multiply both sides by 10 to get
55 x = 22,000,000  (both sides got multiplied by 10, so 5.5 becomes 55)
now divide by 55 on both sides
x= 22000000/55  (22 million divided by 55)

phi · Answer

Here are some videos on percent that might be useful http://www.khanacademy.org/math/arithmetic/percents/v/describing-the-meaning-of-percent