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Solving a Word Problem for the Rate of Simple Interest on Loren's Loan
Apply the problem-solving strategy to find the rate of simple interest given the principal, interest earned, and time.
Problem: Loren lent his brother to help him buy a car. In years, his brother paid him back the plus in interest. What was the rate of simple interest?
- Read the problem carefully.
- Identify what to find: the rate of simple interest.
- Name the unknown: Let = rate of interest.
- Translate into an equation using the simple interest formula . Given , , and :
- Solve the equation: Multiply and : Divide both sides by : Change the decimal to percent form:
- Check the result:
- Answer: The rate of interest was .
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