Question
upstudy study bank question image url

Try Again Your answer is incorrect. At a sale this week, a desk is being sold for \( \$ 124.80 \). This is a \( 76 \% \) discount from the original pric What is the original price?

Ask by Evans Love. in the United States
Jan 23,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

The original price of the desk was \$520.00.

Solution

Apologies for the confusion in my previous response. Let's work through the problem step by step to find the correct original price of the desk. ### **Given:** - **Sale Price:** \$124.80 - **Discount Percentage:** 76% ### **Understanding the Discount:** A **76% discount** means that the desk is being sold for **24%** of its original price. This is because: \[ \text{Sale Price} = 100\% - 76\% = 24\% \text{ of Original Price} \] ### **Let’s denote:** - **Original Price:** \( P \) ### **Setting Up the Equation:** \[ 0.24 \times P = \$124.80 \] ### **Solving for \( P \):** \[ P = \frac{\$124.80}{0.24} \] \[ P = \$520.00 \] ### **Conclusion:** The **original price** of the desk before the discount was **\$520.00**.

Reviewed and approved by the UpStudy tutoring team

error msg
Explain
Simplify this solution

Bonus Knowledge

To find the original price of the desk before the discount, we can set up the equation: Let \( x \) be the original price. Since the desk is sold for 76% off, it is being sold for 24% of the original price. Thus: \[ 0.24x = 124.80 \] Now, divide both sides by 0.24: \[ x = \frac{124.80}{0.24} \] Calculating that gives the original price: \[ x = 520 \] So, the original price of the desk was \( \$520 \). --- Thinking about discounts can feel like a game! Just remember, when you're looking for the original price after a discount, you're figuring out how much of the price remains! In this case, 24% was left after a whopping 76% was cut out. In your everyday shopping, always double-check discount percentages! Misunderstanding a sale can lead to overspending. Look for the percentage left after the discount; it’s a crucial step in calculating if it’s a deal worth snatching up!

Latest Pre Algebra Questions

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy