After a 17% price reduction, a boat sold for 28,220. What was the boat's price before the reduction?

1 Answer
Nov 14, 2016

Answer:

The boats price before the reduction was $33,975.90

Explanation:

The person got the boat for 83% of the original price (100% - 17% = 83%.

Therefore if you find what #28,220 is 83% of you will find the price before the reduction. Therefore:

83% of x = 28,200

#83/100 xx x = 28200#

Solving for #x# while keeping the equation balanced gives:

#(100/83) xx (83/100) xx x = 28200 xx (100/83)#

#1 xx x = 2820000/83#

#x = 33975.90# rounded to the nearest penny.