Math Problem Statement
Leila works as a tutor for $9 an hour and as a waitress for $10 an hour. This month, she worked a combined total of hours 86 at her two jobs. Let be the number of hours Leila worked as a tutor this month. Write an expression for the combined total dollar amount she earned this month.
Solution
To find the total dollar amount Leila earned this month, let's break down her earnings from each job:
- Let represent the number of hours Leila worked as a tutor.
- Therefore, the number of hours she worked as a waitress will be , since she worked a total of 86 hours combined at both jobs.
Tutor Earnings:
She earns $9 per hour as a tutor, so her earnings from tutoring are:
Waitress Earnings:
She earns $10 per hour as a waitress, and she worked hours as a waitress. So, her earnings from waitressing are:
Combined Total Earnings:
The total amount Leila earned this month is the sum of her earnings from both jobs:
This expression represents the combined total dollar amount Leila earned this month.
Would you like a step-by-step simplification of this expression or further details on its components?
Here are some related questions:
- What is Leila's total earnings if she worked 40 hours as a tutor?
- How many hours must Leila work as a tutor to earn at least $500 from that job alone?
- If Leila worked 50 hours as a waitress, how much did she earn this month in total?
- How much will Leila earn if she only works as a tutor for all 86 hours?
- What is the maximum possible amount Leila could earn this month by working more hours as a waitress?
Tip: When solving word problems, clearly define variables and write out expressions step by step to avoid confusion.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
Total earnings = 9t + 10(86 - t)
Theorems
Distributive Property
Suitable Grade Level
Grades 6-8
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