8. Charlotte receives a weekly allowance from her parents. She spent half of this week's
allowance at the movies, but earned an additional $4 for performing extra chores. If she
did not spend any additional money and finished the week with $12, what is Charlotte's
weekly allowance?

a. 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.

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

C. Explain your answer in the context of this problem.