Question
upstudy study bank question image url

Check My Work Please make sure to properly format your answers. All dollar figures in the answers need to include the dollar sign and any amount ovel 00 should include the comma ( \( \$ 2,354.67 \) ). All percentage values in the answers need to include o percentoge sign ( \( \% \) ). For all items without ecific rounding instructions, round your answers to two decimal places, show both decimal places (5.06). leen is a salesperson at Lopez Sporting Goods. She is paid a monthly commission on all Little League uniforms she sells. She receives \( 0 \% \) of her first \( \$ 2,000 \) in sales and \( 12 \% \) of the balance of her sales. Last week she earned \( \$ 231.20 \). What was the total value of the niforms she sold?

Ask by Bernard Christensen. in the United States
Mar 06,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The total value of the uniforms Leen sold is \$3,926.67.

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

Beyond the Answer

To find out the total value of the uniforms Green sold, we can break this down into a few simple steps. She earns \( 12 \% \) commission on sales beyond \( \$ 2,000 \). Let \( x \) be the total sales amount. The commission is calculated as: \[ \text{Commission} = 0.12 \times (x - 2000) \] According to the problem, her total commission for the week was \( \$ 231.20 \): \[ 0.12 \times (x - 2000) = 231.20 \] Now, solve for \( x \): 1. Divide both sides by \( 0.12 \): \[ x - 2000 = \frac{231.20}{0.12} \approx 1933.33 \] 2. Add \( 2000 \) to both sides: \[ x \approx 1933.33 + 2000 = 3933.33 \] Therefore, the total value of the uniforms she sold is approximately \( \$ 3,933.33 \). So to recap, always take care to set up your equations properly, and watch out for those commission brackets!

Related Questions

Latest Arithmetic 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