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On every sale she makes, Maria earns a commission. On a computer that she sells for $591, Maria earns a $43 commission. Find the percent commission, rounded to the nearest tenth of a percent.

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Question:

A
7.3%

explanation

Let p represent the commission percentage. Then we can translate the problem statement into words and symbols.

Commission is what percent of sales price

43=591p

To isolate an unknown value p, divide both sides by 591. Carry the division to four decimal places.

\(\frac{\mathrm{43} }{\mathrm{591}} = \frac{\mathrm{591p} }{\mathrm{591}}\)

\(p \approx 0.0727\)

Because the test digit is greater than or equal to 5, add 1 to the rounding digit, then truncate. Thus, correct to the nearest tenth of a percent, \(p \approx 7.3 \% \)

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