A builder reduced the price of a model by 18 %. If the new price is $128,000, what was its original price? How much can be saved by purchasing the model?

Question

Please help with this college algebra question!

Answer 1

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

You can find the original price by taking

Original Price = New Price / (1 – Discount Rate)

=$128,000 / (1 – 0.18) = $156,097.56

Meaning that the savings are

Savings = Original Price – New Price

=$156,097.56 – $128,000

=$28,097.56

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 :)

Answer 2

a price reduction of 18% means you pay only 82% of the original price

82%*what number=128,000

x=the original price

82%*x=128,000

0.82x=128,000

x=128,000/0.82=$156,097.56 is the original price

$156,097.56-$128,000=$28,097.56 is saved