Math Problem Statement
Solution
Let's go over the questions one by one and solve them:
1. Ronaldo Scanlon is a financial consultant. He earns $30 per hour and works 32.5 hours a week. What is his weekly pay?
- Formula: Weekly Pay = Hourly Rate × Hours Worked
- Solution:
Ronaldo's weekly pay is $975.
2. Elaine Mellon earns $17.80 per hour as an electronic billing specialist for a legal clinic. How many hours per week must she work if she wants to earn approximately $675.00 per week?
- Formula: Hours Worked = Total Weekly Earnings ÷ Hourly Rate
- Solution:
Elaine must work approximately 37.92 hours per week.
3. Bobby Hsu is an office manager at a weekly newspaper. He earns $22.50 per hour. How many hours per week does Bobby work if he earns $522.00 per week?
- Formula: Hours Worked = Total Weekly Earnings ÷ Hourly Rate
- Solution:
Bobby works approximately 23.2 hours per week.
4. Lauren Rodriguez earns $8.35 per hour as a swimming instructor. How many hours per week must she work if she wants to earn approximately $190.00 per week?
- Formula: Hours Worked = Total Weekly Earnings ÷ Hourly Rate
- Solution:
Lauren must work approximately 22.75 hours per week.
5. Rick Haskins is paid $18 an hour as a pastry chef for a regular 35-hour week. His overtime rate is 1.5 times his regular hourly rate. This week, he worked his regular 35 hours plus 8 hours of overtime. What is Rick's total pay?
- Formula:
Regular Pay = Regular Hours × Regular Rate
Overtime Pay = Overtime Hours × Overtime Rate (1.5 × Regular Rate)
Total Pay = Regular Pay + Overtime Pay - Solution:
Regular Pay =
Overtime Pay =
Total Pay =
Rick's total pay is $846.
If you'd like me to continue with the rest of the questions or need more detailed explanations, let me know!
Here are 5 related questions to expand your understanding:
- What would happen if Elaine wanted to earn $800 instead of $675? How many hours would she work?
- If Lauren worked 25 hours instead of 22.75, what would her weekly earnings be?
- What is the formula for calculating overtime pay when overtime hours and the rate are given?
- How would Rick's total pay change if he worked 10 hours of overtime instead of 8?
- What is the percentage increase in Rick's pay due to his overtime hours?
Tip: When calculating weekly pay, ensure that you include overtime rates correctly for any hours worked beyond regular working hours.
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Math Problem Analysis
Mathematical Concepts
Algebra
Arithmetic
Overtime Calculation
Rate and Time
Formulas
Weekly Pay = Hourly Rate × Hours Worked
Overtime Pay = Overtime Hours × Overtime Rate
Total Pay = Regular Pay + Overtime Pay
Hours Worked = Total Earnings ÷ Hourly Rate
Mileage Pay = Rate per Mile × Total Miles
Theorems
-
Suitable Grade Level
Grades 7-10