Question 831952: Please help me solve this break even equation: You have $22 in your bank account and deposit $1.50 each week. At the same time your cousin has $218 but is withdrawing $13 each week. When will your accounts have the same balance?
Answer by JulietG(1812)   (Show Source):
You can put this solution on YOUR website! Let x be the time.
22 + 1.5x = 218 -13x
Add 13 to each side
22 + 14.5x = 218
Subtract 22 from each side
14.5x = 196
Divide each side by 14.5
=13.52 (more accurately, 13.51724)
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That seems an odd answer. Let's double-check it.
If you start with $22 and add 1.50 each week for 13.52 weeks, you'll have 20.28 + 22, or $42.28
If your cousin starts with $218 and subtracts 13 for 13.52 weeks, he'll have 218 = 175.76, or $42.24 (the .04 difference is due to rounding).
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Strange answer, but 13.52 is correct
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