\( -2 \mathrm{HW} \) Question 7, 5.2.15 HW Score: \( 75 \%, 6 \) of 8 points Save Part 1 of 2 Points: 0 of 1 Two part-time employees share one full-time job. A girl works Mondays, Thursdays, Wednesdays, and Fridays, and a boy works Tuesdays. The job pays an annual salary of \( \$ 28,652 \). What annual salary does each employee earn? The girl's salary is \( \$ \) \( \square \)
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The Deep Dive
To determine each part-time employee's salary, we first need to find out how many total workdays there are in a week for the full-time equivalent. A full-time position typically assumes five days of work. The girl works four days, while the boy works one day. So, in total, they work \( 4 + 1 = 5 \) days, which is exactly the full-time job's workload. The girl's proportional contribution to the job is \( \frac{4}{5} \) of the salary, and the boy's is \( \frac{1}{5} \). Now, calculating their salaries: The girl's salary is \(\$ 28,652 \times \frac{4}{5} = \$ 22,921.60\). The boy's salary is \(\$ 28,652 \times \frac{1}{5} = \$ 5,730.40\). Thus, the girl's salary is \(\$ 22,921.60\). The boy's salary would be \(\$ 5,730.40\).