Ч37
БРОСАТБ/БРОСИТЬ (КЛАСТЬ/ПОЛОЖИТЬ) НА ЧАШУ (ЧАШКУ) ВЕСОВ что
litVPsubj:
human (often in refer, to one's professional reputation, authority, the prestige of one's firm
etc) to use
sth. in the hope of gaining the advantage or a victory in some matter or area
X бросил на чашу весов Y - X used Y in an attempt to tip (tilt ) the scale(s) in his favor
X used Y in an attempt to turn the tide in his favor.