Each person attending a fund raising event was charged the same admission fee. How many people attended the fund raising event?
(1) If the admission fee had been $.75 less and 100 more people had attended, they would have received the same amount in revenue.
(2) If the admission fee had been $1.50 more and 100 less people had attended, they would have received the same amount in revenue.
A) Statement 1 sufficient...
B) Statement 2 sufficient...
C) Both statements together...
D) Each statement alone
E) Neither statement ...
The book answer is C. How can the math for this be done? It seems like you've got three variables here with only 2 equations...
You need 3 equations to yield the value of 3 variables.
n = number of people
f = fee per person
r = total revenue
Stem tells u:
fn = r
(f-.75)(n+100) = r
(f+1.50)(n-100) = r
This gives us 3 distinct equations, so 1) and 2) together are sufficient.