Question
upstudy study bank question image url

A shirt is on sale for \( 60 \% \) off. If the sale price is \( \$ 16 \), what was the original price? (Make a table if it helps you.)

Ask by Lewis Kelly. in the United States
Feb 26,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The original price of the shirt was $40.

Solution

Let the original price be P. Since the shirt is 60% off, the sale price is 40% of the original price. This can be set up as:   0.40 × P = 16 Now, solve for P:   P = 16 / 0.40   P = 40 So, the original price was $40. Here's a table outlining the process: ------------------------------------------------- | Description | Calculation | ------------------------------------------------- | Original Price | P | | Discount (%) | 60% | | Sale Price (%) (P - 60%) | 40% of P | | Equation | 0.40 × P = 16 | | Solving for P | P = 16 / 0.40 = 40 | ------------------------------------------------- The original price of the shirt is $40.

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

The Deep Dive

To find the original price of the shirt, you can set up the problem using percentages. Let the original price be \( x \). Since the shirt is on sale for 60% off, that means you're paying 40% of the original price. Thus, we can write the equation: \[ 0.4x = 16 \] To find \( x \), divide both sides by 0.4: \[ x = \frac{16}{0.4} = 40 \] So, the original price of the shirt was \( \$ 40 \). Now, here's a fun way to visualize it in a table: | Original Price (x) | Discount (%) | Sale Price | |---------------------|--------------|------------| | \( 40 \) | \( 60\% \) | \( 16 \) | | | | | | | | | Now you can clearly see how the original price relates to the discount and sale price!

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