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Let X be the total bill amount.
Jake paid 30% of the bill, so he paid 0.30X.
Judy paid 35% of the bill, so she paid 0.35X.
Together, they paid 0.30X + 0.35X = 0.65X of the bill.
Since the total bill is X, Lynn paid 100% - 65% = 35% of the bill in decimal form.
Therefore, Lynn paid 0.35X of the bill.