Lesson 3.3 Solving Equations with Algebra

Write an equation that can be used to find the original amount of Charlotte’s weekly allowance. Let 𝐴 be the value of Charlotte’s original weekly allowance.

Solve the equation to find the original amount of allowance. Then write the reason that justifies each step using if-then statements.

Explain your answer in the context of this problem.

Charlotte’s goal is to save $100 for her beach trip at the end of the summer. Use the amount of weekly allowance you found in part (c) to write an equation to determine the number of weeks that Charlotte must work to meet her goal. Let 𝑤 represent the number of weeks.

In looking at your answer to part (d) and based on the story above, do you think it will take Charlotte that many weeks to meet her goal? Why or why not?