At a history museum, the price of each regular admission ticket sold last Sunday was 30 percent less than the price of each regular admission ticket sold last Saturday. If the museum’s total revenue from the sale of regular admission tickets last Saturday and Sunday was $6,150, what was its revenue from the sale of regular admission tickets last Saturday alone?
(1) The number of regular admission tickets sold by the museum last Sunday was 50 percent greater than the number of regular admission tickets sold by the museum last Saturday.
Let there be 100 ticket sold on Saturday, Sunday it would be 150. And price be x on Saturday, so it would be 0.7x on Sunday.
Now,
100x + 150*0.7x = 6150
Since x can be found, the choice is sufficient.
SUFFICIENT.
(2) The price of each regular admission ticket sold by the museum last Saturday was $10.
So, 100 tickets on Saturday gives a revenue of $1000
For Sunday, the revenue would be $5150, meaning the number of tickets would be 5150/7(not possible since tickets would be an integer number but one gets the idea).
Also, the possibility is that Saturday the tickets sold are 200, giving a revenue of $2000
Sunday it is $4150.
Varying numbers are possible, thus insufficient.
INSUFFICIENT.
Answer A.