int value = int.Parse("$35.00", NumberStyles.Currency);
Should give you the answer you need.
However, a value like $35.50 converted to an integer will likely not return what you want it to, as Integers do not support partial (decimal) numbers. You didn't specify what to expect in that situation.
[EDIT: Changed double to decimal which is safer to use with currency]
If you want to get a value of 35.5 in that situation, you might want to use the decimal type.
decimal value = decimal.Parse("$35.00", NumberStyles.Currency);
Note that you have to be very careful when dealing with money and floating point precision.
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