You are paid $8.55/hr at your part-time job. You work 10 hours per week. You are considering working a part-time job for $6.25/hr, and it pays tips. You will earn an average of $3.00/hr in tips. If you work the same 10 hours at the new job, how much more is your total gross income including tips compared to your old job?

I am confused

You'll be making 7.00 dollars more at the part time job. Just took the quick check, its correct :)

3+6.25 = 9.25 is the amount per hour you will earn at the new job

So the difference between incomes of the two jobs is:

9.25*10 - 8.55*10 = 7

No worries, I can help clarify the situation for you step-by-step.

First, let's calculate your total gross income at your old job:

Hourly rate: $8.55/hr
Hours worked per week: 10

To find your total gross income at your old job, you'll multiply your hourly rate by the number of hours worked:
Total gross income at old job = Hourly rate * Hours worked per week

Total gross income at old job = $8.55/hr * 10 hours/week
Total gross income at old job = $85.50/week

Now, let's calculate your total gross income at the new job including tips:

Hourly rate: $6.25/hr
Average tips earned: $3.00/hr
Hours worked per week: 10

To find your total gross income at the new job, you'll multiply your hourly rate by the number of hours worked, and then add the average tips earned per hour:
Total gross income at new job = (Hourly rate * Hours worked per week) + (Average tips earned * Hours worked per week)

Total gross income at new job = ($6.25/hr * 10 hours/week) + ($3.00/hr * 10 hours/week)
Total gross income at new job = ($62.50/week) + ($30.00/week)
Total gross income at new job = $92.50/week

Lastly, let's compare the difference in total gross income between the two jobs:

Difference in total gross income = Total gross income at new job - Total gross income at old job

Difference in total gross income = $92.50/week - $85.50/week
Difference in total gross income = $7.00/week

Therefore, if you work the same 10 hours at the new job, your total gross income including tips would be $7.00 more than your old job.

To calculate the total gross income including tips at your new job, you can follow these steps:

Step 1: Calculate the income from the hourly wage at the new job
Multiply the hourly wage at the new job ($6.25/hr) by the number of hours worked (10 hr) to find the hourly income from the wage: $6.25/hr * 10 hr = $62.50.

Step 2: Calculate the income from tips at the new job
Multiply the average tip rate ($3.00/hr) by the number of hours worked (10 hr) to find the hourly income from tips: $3.00/hr * 10 hr = $30.00.

Step 3: Calculate the total income at the new job
Add the income from the wage and the tips to find the total income at the new job: $62.50 + $30.00 = $92.50.

Step 4: Calculate the difference in total income between the new job and the old job
Subtract the total income at the old job ($8.55/hr * 10 hr = $85.50) from the total income at the new job ($92.50) to find the difference: $92.50 - $85.50 = $7.00.

Therefore, the total gross income including tips at the new job is $7.00 more compared to your old job.