You have $22 in your bank account and deposit $11.50 each week. At the same time your cousin has $218 but is withdrawing $13 each week. When will your accounts have the same balance? (Hint: Write a system for the situation and solve)

Let w be the number of weeks. Your balance will be 22 + 11.50w, and your cousin’s will be 218 − 13w. Set them equal: 22 + 11.50w = 218 − 13w, so 24.50w = 196 and w = 8. The accounts will have the same balance in 8 weeks, which is choice B.

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