The statements in the prompt tell you that there are 500 orchestra seats and 384 balcony seats. let 'o' be the price of an orchestra seat, and 'b' be the price of a balcony seat.
then the statement in the prompt tells us that
500o + 384b = 36,400
(1)
this tells us that
o = 2b
that's a substitution, which we can use in the equation above, and which will therefore yield a unique solution (o, b) for the prices of the 2 different types of tickets.
however, this statement tells us nothing about last night's performance, so it is insufficient.
(2)
this tells us that all 384 balcony seats, and 400 of the 500 orchestra seats, were sold.
we don't have price points for the two different types of seats, so we can't figure this one out. (the more that the orchestra seats cost, relative to the balcony seats, the farther short of $34,600 the revenue will fall.)
(together)
from statement (1) we can figure the price of each type of ticket, so we know 'o' and 'b'. using statement (2), we know that the revenue is 384b + 400o. plug in and find out the revenue.
sufficient
answer = c
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Thanks & Regards,
Anaira Mitch