Question 831952
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