SOLUTION: After a 17% price reduction, a boat sold for $28,220. What was the boat's price before the reduction? (Round to the nearest cent, if necessary).

Question 1199650: After a 17% price reduction, a boat sold for $28,220. What was the boat's price before the reduction? (Round to the nearest cent, if necessary).
Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!

If you get a 17% discount, then you pay the remaining 83% of the price (since 17% + 83% = 100%)

x = original price before discount

83% = 83/100 = 0.83
83% of x = 0.83x = price after discount

0.83x = 28220
x = 28220/0.83
x = 34,000
The boat's price before the discount was $34,000.

The amount saved is
17% of 34,000 = 0.17*34000 = 5780
and the final price is
34,000 - 5,780 = 28,220
which confirms the answer is correct.

Answer: $34,000

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