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Solving a Word Problem for the Principal of Eduardo's Car Loan
Apply the problem-solving strategy to find the principal given the simple interest earned, rate of interest, and time.
Problem: Eduardo noticed that his new car loan papers stated that with a simple interest rate, he would pay in interest over years. How much did he borrow to pay for his car?
- Read the problem carefully.
- Identify what to find: the amount borrowed (the principal).
- Name the unknown: Let = principal borrowed.
- Translate into an equation using the simple interest formula . Given , , and :
- Solve the equation: Multiply and : Divide both sides by :
- Check the result:
- Answer: The principal was .
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Intermediate Algebra @ OpenStax
Ch.2 Solving Linear Equations - Intermediate Algebra @ OpenStax
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