Mike has $22 in his bank account and deposits $11.50 each week. At the same time, Tim has $218 in his account but is withdrawing $13 each week.When will the accounts have the same balance? How much money will each of them have after 12 weeks?

Let w be the number of weeks. Mike’s balance is 22 + 11.50w, and Tim’s is 218 − 13w. Setting them equal gives 22 + 11.50w = 218 − 13w, so 24.50w = 196 and w = 8. After 12 weeks, Mike has $22 + $138 = $160, while Tim has $218 − $156 = $62; this matches choice a.

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