After a 9% price reduction, a boat sold for $30,940. What was the boats price before the reduction?

Question

round to the nearest cent if necessary, college algebra

Answer 1

Hi Jojo,

 

A 9% price reduction means that the item is sold at 100-9 = 91% of its original price. If we let the original price be x. then 91% of x is equal to 30940. Mathematically,

0.91x = 30940

x = 34000

So the original price of the boat is $34000.

Answer 2

Hello, thank you for taking the time to post your question!

In order to solve for the original price on this one you want to take

P = 30940 / (1 – 0.09) = 30940 / 0.91 = 34000

Meaning that the boat’s price before the reduction was $34,000

I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)