Pregunta
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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

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

Solución

It seems there was an issue with the equation provided. Let's reformat the equation and solve it again. Solve the equation by following steps: - step0: Solve for \(x\): \(0.12\left(x-2000\right)=231.2\) - step1: Divide both sides: \(\frac{0.12\left(x-2000\right)}{0.12}=\frac{231.2}{0.12}\) - step2: Divide the numbers: \(x-2000=\frac{5780}{3}\) - step3: Move the constant to the right side: \(x=\frac{5780}{3}+2000\) - step4: Add the numbers: \(x=\frac{11780}{3}\) The total value of the uniforms she sold is \( \$3926.67 \).

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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!

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