Question
upstudy study bank question image url

Which is cheaper, a \( \$ 180 \) camera discounted by \( 20 \% \) or a \( \$ 155 \) camera discounted by \( 10 \% \) ?

Ask by Kirk Carlson. in the United States
Mar 09,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The \( \$155 \) camera discounted by \( 10\% \) is cheaper than the \( \$180 \) camera discounted by \( 20\% \).

Solution

1. Calculate the discounted price for the \( \$180 \) camera with a \( 20\% \) discount: - Discount amount: \[ 0.20 \times 180 = \$36 \] - Discounted price: \[ 180 - 36 = \$144 \] 2. Calculate the discounted price for the \( \$155 \) camera with a \( 10\% \) discount: - Discount amount: \[ 0.10 \times 155 = \$15.50 \] - Discounted price: \[ 155 - 15.50 = \$139.50 \] 3. Compare the two prices: - First camera: \( \$144 \) - Second camera: \( \$139.50 \) Since \( \$139.50 < \$144 \), the \( \$155 \) camera discounted by \( 10\% \) is cheaper.

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

Beyond the Answer

To find out which camera is cheaper after applying the discounts, we can calculate the sale prices. For the \( \$ 180 \) camera discounted by \( 20\% \): - Calculate the discount: \( 20\% \) of \( 180 \) is \( 0.20 \times 180 = 36 \). - Subtract the discount from the original price: \( 180 - 36 = 144 \). For the \( \$ 155 \) camera discounted by \( 10\% \): - Calculate the discount: \( 10\% \) of \( 155 \) is \( 0.10 \times 155 = 15.5 \). - Subtract the discount from the original price: \( 155 - 15.5 = 139.5 \). Now, comparing the two prices: - The \( 180 \) camera is \( 144 \). - The \( 155 \) camera is \( 139.5 \). The \( \$ 155 \) camera discounted by \( 10\% \) is cheaper at \( \$ 139.5 \).

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