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The answer would be the door-in-the face technique because the woman is asking for a large amount knowing he'll say no and then asking for a smaller amount knowing he'll comply.
The answer is "door-in-the face technique".
The door-in-the-face technique is a sort of sequential request methodology. Usually used to expand compliance rates of a specific demand. Rather than the foot-in-the-entryway method, which introduces a demand with a littler demand that the respondent is bound to concur with, door-in-the-face requests include making an all the more requesting inquiry, trailed by the real demand.