$$ -2 \mathrm{HW} $$ 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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UpStudy AI · Accepted Answer

To determine each employee's annual salary based on the days they work, follow these steps:

1. **Identify the Total Number of Workdays:**
   - **Girl:** Monday, Wednesday, Thursday, Friday → **4 days**
   - **Boy:** Tuesday → **1 day**
   - **Total:** 4 (girl) + 1 (boy) = **5 days**

2. **Calculate the Proportion of Work:**
   - The girl works **4 out of 5** days.
   - The boy works **1 out of 5** days.

3. **Determine the Annual Salary for the Girl:**
   $$
   \text{Girl's Salary} = \left( \frac{4}{5} \right) \times \$28,652 = \frac{4 \times 28,652}{5} = \frac{114,608}{5} = \$22,921.60
   $$

**Final Answer:**

The girl's annual salary is **\$22,921.60**.
The girl earns \$22,921.60 annually.

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