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Applications of Solving Linear Equations

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Introduction

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Lesson Goals

  • Solve application problems with the linear equation given.
  • Translate a written description to an algebraic equation.
  • Solve application problems without the linear equation given.

Try This

Three siblings have decided to pool their money to buy their parents a gift for their anniversary. They need to save \($224.50\) in total. Each sibling has a different rate of pay and works a different number of hours.

  • Nancy earns \($10.70\) per hour.
  • Marc earns \($11.30\) per hour and always works \(5\) more hours per week than Nancy.
  • Kara babysits and earns \($9\) per hour and always works \(2\) hours less per week than Nancy.

How many hours in a week must each sibling work in order to reach their goal of \($224.50\)?