Final answer:
Zymirah earned a commission of $160 from her sales and $80 from her hourly wage, totaling $240. By dividing her hourly earnings by her hourly wage, we can determine that Zymirah worked for 8 hours.
Step-by-step explanation:
Zymirah earns a total of $240 from her work, which includes a 5% commission on her sales and a fixed rate of $10 per hour. Since we know the total sales were $3,200, we can first calculate the commission earned from these sales.
The commission earned on sales is calculated as 5% of $3,200:
- Commission = 5% of $3,200
- Commission = 0.05 × $3,200
- Commission = $160
We can then determine the hourly earnings separately by subtracting the commission from the total earnings.
Total hourly earnings = Total earnings - Commission
Total hourly earnings = $240 - $160
Total hourly earnings = $80
Now we can calculate the number of hours worked by dividing the hourly earnings by the hourly rate:
- Hours worked = Total hourly earnings / Hourly rate
- Hours worked = $80 / $10 per hour
- Hours worked = 8 hours
Therefore, Zymirah worked for 8 hours.