Respuesta :
The percentage increase in total weekly pay is 34.3 %
Solution:
Retail job pays her $8.50 per hour and she works 20 hours per week in that job
Therefore,
[tex]Retail\ Job\ Earnings = 8.50 \times 20 = 170[/tex]
Her office job pays her $12 per hour and she works 15 hours per week in the office
Therefore,
[tex]Office\ Job\ Earnings = 12 \times 15 = 180[/tex]
Total earnings = retail job earnings + office job earnings
[tex]Total\ Earnings = 170 + 180 = 350[/tex]
Thus original earnings is $ 350
She starts working an extra 10 hours a week at her office job
She already worked 15 hours per week in office job, now it becomes,
15 + 10 = 25 hours per week
Her office job pays her $12 per hour. Therefore,
[tex]Office\ Earnings = 25 \times 12 = 300[/tex]
Now increased earning is:
[tex]Increased\ Earning = Retail\ Job\ Earning + Increased\ Office\ Earning\\\\Increased\ Earning = 170 + 300 = 470[/tex]
We have to find the percentage increase
The percent increase is given by formula:
[tex]Percent\ Increase = \frac{\text{Increased earning - original earning}}{\text{original earning}} \times 100[/tex]
Substituting the values we get,
[tex]Percent\ Increase = \frac{470-350}{350} \times 100\\\\Percent\ Increase = \frac{120}{350} \times 100\\\\Percent\ Increase = 0.3428 \times 100 = 34.28 \approx 34.3[/tex]
Thus her percentage increase in total weekly pay is 34.3 %
