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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






Integer x and y which have the same tens digits. The sum of x and y is 87, and x < y (x and y are positive integers). How many distinct pairs of x and y satisfy the above rule?
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
What is the total number of three-digit integers where the sum of all the digits is 4 from 100 to 999, inclusive?
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?
In a store, price of small-sized coffee beans is $k per bag, while price of larger coffee beans is $m per bag. If someone buys four bags of coffee beans in the store at a price of $30 in total, then k and m could be?

Indicate all such possible combinations.
To buy n stamps each of which is 0.32 dollar, a person paid a certain number of 1-dollar bills and then received the change of 0.08 dollar.

Quantity A

n

Quantity B

9


rt=8, where r and t are positive integers

Quantity A

r+t

Quantity B

12


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