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Here's the work:
To start with, 99% water is 99lb/(99lb + 1 lb).
Make 99lb a variable: x/(x+1)
Set to 98%: x/(x+1) = 0.98
Solve for x:
x = 0.98x + 0.98
0.02x = 0.98
x = 98/2 = 49
Total weight is 49 + 1 = 50lb
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