hazelnut wrote:
Conference Ticket Advance Discounts
5-29 days in advance -> 15%
30-59 days in advance -> 30%
60-89 days in advance -> 40%
Helen bought a ticket for $252. If she had bought it 1 day later, she would have paid $306. How many days in advance did she buy her ticket?
(A) 5
(B) 30
(C) 59
(D) 60
(E) 89
Let's say the regular ticket price is $100 and see what kinds of prices we pay.
5-29 days in advance: we pay $85
30-59 days in advance: we pay $70
60-89 days in advance: we pay $60
Now let's examine the following ratios:
(Price paid 30-59 days in advance)/(Price paid 5-29 days in advance) = 70/85 =
14/17(Price paid 60-89 days in advance)/(Price paid 30-59 days in advance) = 60/70 =
6/7Now compare the given information.
(price paid)/(price WOULD HAVE paid a day later) = 252/306 = 126/153 = 42/51 =
14/17The ratio of
14/17 matches the first scenario.
So, it must be the case that Helen paid the $252 amount
30 days in advance.
A day later would have been 29 days in advance, in which case she would have paid $306
Answer: