Math Problem Statement

Rosita earned $408.65 working 35 hours at $8.21/h plus tips. How much did she make in tips?

Solution

The problem reads:

Rosita earned $408.65 working 35 hours at $8.21 per hour plus tips. How much did she make in tips?

To solve this:

  1. Calculate the amount Rosita earned from her hourly wage without tips: Earnings from wage=35 hours×8.21 dollars/hour=287.35 dollars\text{Earnings from wage} = 35 \text{ hours} \times 8.21 \text{ dollars/hour} = 287.35 \text{ dollars}

  2. Now, subtract the earnings from her wage from the total amount earned to find how much she made in tips: Tips=408.65 dollars287.35 dollars=121.30 dollars\text{Tips} = 408.65 \text{ dollars} - 287.35 \text{ dollars} = 121.30 \text{ dollars}

Final Answer:

Rosita made $121.30 in tips.

Would you like more details on any part of the calculation, or do you have any questions?

Here are 5 related questions to expand on this:

  1. What would Rosita's total earnings be if she worked 40 hours at the same wage?
  2. How would Rosita's tips change if her total earnings were $500 instead of $408.65?
  3. What percentage of her total earnings came from tips?
  4. If Rosita had worked 10 more hours with no change in tips, what would her new total earnings be?
  5. How much more would she have earned if her hourly wage was $9 instead of $8.21?

Tip: When working with wages, always remember to separate regular earnings from tips or commissions to easily track different sources of income.

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Math Problem Analysis

Mathematical Concepts

Basic Arithmetic
Algebra

Formulas

Earnings from wage = hours worked × hourly rate
Tips = total earnings - earnings from wage

Theorems

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Suitable Grade Level

Grades 6-8