In the following exercises, solve using the problem solving...

In the following exercises, solve using the problem solving strategy for word problems. Remember to write a complete sentence to answer each question. Erica earned a total of $\$ 50,450$ last year from her two jobs. The amount she earned from her job at the store was $\$ 1,250$ more than three times the amount she earned from her job at the college. How much did she earn from her job at the college?

In the following exercises, solve using the problem solving strategy for word problems. Remember to write a complete sentence to answer each question.
Erica earned a total of $\$ 50,450$ last year from her two jobs. The amount she earned from her job at the store was $\$ 1,250$ more than three times the amount she earned from her job at the college. How much did she earn from her job at the college?

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Key Concepts

Word Problem Solving Strategy

This involves reading the problem carefully to understand the given scenario, identifying the key pieces of information, and determining what is being asked. It includes breaking down the problem, assigning variables to unknown quantities, and translating the verbal description into a mathematical equation or set of equations.

Algebraic Modeling

Algebraic modeling is the process of representing real-world situations with algebraic expressions and equations. It helps in accurately capturing the relationships described in word problems and provides a framework for applying mathematical techniques to find unknown quantities.

Linear Equations

A linear equation is an equation in which the variable(s) appear only to the first power. Solving linear equations involves isolating the variable on one side of the equation using inverse operations. This is a fundamental concept in algebra and is crucial for finding exact numerical solutions in many word problems.

Complete Sentence Answer

This concept emphasizes the importance of clearly communicating the solution by writing out a full sentence that summarizes the findings. This ensures that the answer is not only mathematically correct but also presented in a grammatically complete and understandable manner.

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