A store purchased 20 coats that each cost an equal amount and then sold each of the 20 coats at an equal price. What was the store's gross profit on the 20 coats?

(1) If the selling price per coat had been twice as much, the store's gross profit on the 20 coats would have been $2,400.
(2) If the selling price per coat had been $2 more, the store's gross profit on the 20 coats would have been $440.

A certain list consists of five different integers. Is the average (arithmetic mean) of the two greatest integers in the list greater than 70 ?

(1) The median of the integers in the list is 70.
(2) The average of the integers in the list is 70.

Each of the numbers w, x, y, and z is equal to either 0 or 1. What is the value of w + x + y + z ?

(1) ~$\frac{w}{2}+\frac{x}{4}+\frac{y}{8}+\frac{z}{16}=\frac{11}{16}$~
(2) ~$\frac{w}{3}+\frac{x}{9}+\frac{y}{27}+\frac{z}{81}=\frac{31}{81}$~

If 500 is the multiple of 100 that is closest to x and 400 is the multiple of 100 that is closest to y, which multiple of 100 is closest to x + y ?

(1) x < 500
(2) y < 400

To install cable television in a home, a certain cable company charges a basic fee of $30 plus a fee of $20 for each cable outlet installed in the home. How much did the cable company charge the Horace family for installing cable television in their home?

(1) The cable company installed three cable outlets in the Horace family home.
(2) The amount that the cable company charged the Horace family for installing cable television in their home was equivalent to an average (arithmetic mean) charge of $30 per cable outlet installed.

On his trip from Alba to Benton, Julio drove the first x miles at an average rate of 50 miles per hour and the remaining distance at an average rate of 60 miles per hour. How long did it take Julio to drive the first x miles?

(1) On this trip, Julio drove for a total of 10 hours and drove a total of 530 miles.
(2) On this trip, it took Julio 4 more hours to drive the first x miles than to drive the remaining distance.

A certain jar contains only b black marbles, w white marbles, and r red marbles. If one marble is to be chosen at random from the jar, is the probability that the marble chosen will be red greater than the probability that the marble chosen will be white?

(1) ~$\frac{r}{b+w}> \frac{w}{b+r}$~
(2) b – w > r

Is the average (arithmetic mean) of 5 different positive integers at least 30 ?

(1) Each of the integers is a multiple of 10.
(2) The sum of the 5 integers is 160.

If n is an integer between 3 and 9, what is the value of n ?

(1) On the number line, the distance from 3 to n is ~$\frac{2}{3}$~ of the distance from 3 to 9.
(2) On the number line, n is 10 units to the right of -3.

Does x + c = y + c ?

(1) x = y
(2) x = c