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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 $\$15.65$ . 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?

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Percent error: word problems

Full solution

Q. 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?

Calculate Correct Change: Calculate the correct change Luna should have received. $\newline$ Correct Change = Amount Given - Cost of Shirt $\newline$ Correct Change = $\$20.00$ - $\$15.65$ $\newline$ Correct Change = $\$4.35$
Calculate Difference: Calculate the difference between the correct change and the change given. $\newline$ Difference = Correct Change - Change Given $\newline$ Difference = $\$4.35$ - $\$3.25$ $\newline$ Difference = $\$1.10$
Calculate Percent Error: Calculate the percent error based on the difference and the correct change. $\newline$ Percent Error = $(\text{Difference} / \text{Correct Change}) \times 100\%$ $\newline$ Percent Error = $(\$1.10 / \$4.35) \times 100\%$ $\newline$ Percent Error = $25$ . $29$ \%

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