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Quantity A

The number of points in the plane that are equidistant from all the three lines k, m, and p

Quantity B

3
If x and y are positive integers and x < y, how many different ordered pairs (x, y) are there such that the sum of x and y is 87 and x and y have the same tens digit?
n is an integer greater than 200 and less than 300, and has a tens digit of x and units digit of 5

Quantity A

$$\frac{n}{5}$$

Quantity B

40+2x
The value of a two-digit integer is twice as many as the sum of its tens digit and units digits. What is the two-digit integer?
What is the greatest possible value of n such that n is an even and the result is 530 when rounded to the nearest 10??
Both m and n are positive integers and 3m+4n =13

Quantity A: n

Quantity B:2
For how many integers between 100 and 999, inclusive, is the sum of the three digits of the integer equal to 4?
Set S consists of points (x, y) such that 2x+3y ≤ 7 where x and y are positive integers. What is the number of the points in set S?
A coffee shop sells its own brand of ground coffee packaged in two sizes-small and large. The small size is priced at $$k$$ dollars per package, and the large size is priced at $$m$$ dollars per package. If the total price of $$4$$ packages of the coffee is $30, which of the following could be the values of $$k$$ and $$m$$?

Indicate all such values.
David bought $$n$$ stamps that cost $0.32 each. He paid with bills worth $1.00 each and received $0.08.

Quantity A

$$n$$

Quantity B

9
rt=8

Quantity A

r+t

Quantity B

12
Select 5 numbers from the nine numbers, namely 1~9 (inclusive), to sum up

Quantity A

The number of possible ways that the sum of these five numbers is 22

Quantity B

The number of possible ways that the sum of these five numbers is 28
At most how many integers less than 25 could be the sum of the positive multiple of 4 and the positive multiple of 5?
If x, y, z are positive integers, and x+y+z=7, then how many different solutions are there?
The average of four different integers is 30,if the minimum integer is 27,what is the greatest possible value of the integers?
List L consists of 5 different positive integers. If the average (arithmetic mean) of the integers in the list is 8, what is the greatest possible integer that could appear in list L?
The sum of 10 positive integers is 101, and none of these integers is more than twice the other. What is the largest possible number among these 10 numbers?

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