SUMMARY
Rajah's problem involves determining his hourly wage based on his work hours and total earnings over two weeks. In the first week, he worked 12 hours for a total of $117, while in the second week, he worked 10 hours and earned a total of $110, with tips equal to the previous week. The equations to solve for Rajah's hourly wage can be established as follows: let x be the hourly wage and y be the tips. The equations are 12x + y = 117 and 10x + y = 110. Solving these equations will yield Rajah's hourly wage.
PREREQUISITES
- Understanding of linear equations and systems of equations
- Basic algebra skills for solving equations
- Familiarity with variables and their representations
- Ability to manipulate equations to isolate variables
NEXT STEPS
- Learn how to solve systems of linear equations using substitution and elimination methods
- Explore graphing linear equations to visualize solutions
- Study real-world applications of linear systems in financial contexts
- Practice problems involving hourly wages and tips to reinforce understanding
USEFUL FOR
Students studying algebra, educators teaching linear equations, and anyone interested in applying mathematical concepts to real-world financial scenarios.