Answer: 565 general admission and 430 lower-level seating tickets sold (Answer (D))
Steps:
Let x be the number of general admission tickets, and y be the number of lower level tickets.
Set up the two equations:
68762.5 = x * 47.50 + y * 97.50 (total price as a sum of individual volumes)
x + y = 995 (sum of individual count = total count of tickets sold)
solve for x, y:
x = 995 - y
plug into the first equation:
68762.5 = (995-y) * 47.50 + y * 97.50
solve for y:
y = 430
then x = 565
x = 565 and y = 430
An integer may be a multiple of 3.
An integer may be 1 greater than a multiple of 3.
An integer may be 2 greater than a multiple of 3.
It is redundant to say an integer is 3 greater than a multiple of 3 (that's just a multiple of 3, we've got it covered). Same for 4, 5, 6, 7...
Let's consider a number which is a multiple of 3. Clearly, we can write 3+3+3+3+... until we reach the number. It can be written as only 3's.
Let's consider a number which is 2 greater than a multiple of 3. If we subtract 5 from that number, it'll be a multiple of 3. That means we can write the number as 5+3+3+3+3+... Of course, the number must be at least 8.
Let's consider a number which is 1 greater than a multiple of 3. If we subtract 5 from that number, it'll be 2 greater than a multiple of 3. If we subtract another 5, it'll be a multiple of 3. That means we can write the number as 5+5+3+3+3+3+... Of course, the number must be at least 13.
That's it. We considered all the numbers. We forgot 9, 10, 11, and 12, but these are easy peasy.
Beautiful question.
Answer:
18
Step-by-step explanation:
China has the most members.
