A certain company divides its total advertising budget into television, radio, newspaper, and magazine budgets in the ratio of 8 : 7 : 3 : 2, respectively. How many dollars are in the radio budget?

(1) The television budget is $18,750 more than the newspaper budget.
(2) The magazine budget is $7,500.

If integer p is greater than 1, is p a prime number?

(1) p is odd.
(2) The only positive factors of p are 1 and p.

During a 40-mile trip, Marla traveled at an average speed of x miles per hour for the first y miles of the trip and at an average speed of 1.25x miles per hour for the last 40 - y miles of the trip. The time that Marla took to travel the 40 miles was what percent of the time it would have taken her if she had traveled at an average speed of x miles per hour for the entire trip?

(1) x = 48
(2) y = 20

How many of the students in a certain class are taking both a history and a science course?

(1) Of all the students in the class, 50 are taking a history course.
(2) Of all the students in the class, 70 are taking a science course.

A contractor combined x tons of a gravel mixture that contained 10 percent gravel G, by weight, with y tons of a mixture that contained 2 percent gravel G, by weight, to produce z tons of a mixture that was 5 percent gravel G, by weight. What is the value of x ?

(1) y = 10
(2) z = 16

If x is positive, what is the value of y ?

(1) 5x = 15
(2) xy + y = 18

If P, Q, and R are points on the number line, what is the distance between P and R ?

(1) Q is between P and R.
(2) The distance between P and Q is 5.

An insurance company has a contract with a medical laboratory to pay a discounted price for a certain medical test performed on patients referred to the laboratory by the insurance company. If the laboratory's original bill for this medical test on a patient referred by the insurance company is $230, what is the percent discount specified by the contract between the laboratory and the insurance company?

(1) The insurance company is required to pay only 20 percent of the original bill for the test.
(2) The insurance company is required to pay $46 for the test.

If xy = -18, is x less than y ?

(1) x < 0
(2) y < 10

Henry purchased 3 items during a sale. He received a 20 percent discount off the regular price of the most expensive item and a 10 percent discount off the regular price of each of the other 2 items. Was the total amount of the 3 discounts greater than 15 percent of the sum of the regular prices of the 3 items?

(1) The regular price of the most expensive item was $50, and the regular price of the next most expensive item was $20.
(2) The regular price of the least expensive item was $15.