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Luna buys a shirt that costs $15.65. She gives the cashier $20.00 and receives $3.25 in change. What is the percent error in the amount of change she was given?

Luna buys a shirt that costs $15.65\$15.65. She gives the cashier $20.00\$20.00 and receives $3.25\$3.25 in change. What is the percent error in the amount of change she was given?

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Full solution

Q. Luna buys a shirt that costs $15.65\$15.65. She gives the cashier $20.00\$20.00 and receives $3.25\$3.25 in change. What is the percent error in the amount of change she was given?
  1. Calculate Correct Change: Calculate the correct change Luna should have received.\newlineCorrect Change = Amount Given - Cost of Shirt\newlineCorrect Change = $20.00\$20.00 - $15.65\$15.65\newlineCorrect Change = $4.35\$4.35
  2. Calculate Difference: Calculate the difference between the correct change and the change given.\newlineDifference = Correct Change - Change Given\newlineDifference = $4.35\$4.35 - $3.25\$3.25\newlineDifference = $1.10\$1.10
  3. Calculate Percent Error: Calculate the percent error based on the difference and the correct change.\newlinePercent Error = (Difference/Correct Change)×100%(\text{Difference} / \text{Correct Change}) \times 100\%\newlinePercent Error = ($1.10/$4.35)×100%(\$1.10 / \$4.35) \times 100\%\newlinePercent Error = 2525.2929\%

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