Two points are selected randomly on a line of length 34 so as to be on opposite sides of the midpoint of the line. in other words, the two points x and y are independent random variables such that x is uniformly distributed over [0,17) and y is uniformly distributed over (17,34]. find the probability that the distance between the two points is greater than 7.

Acollege is selling tickets for a winter fund-raiser. one day, krissa sold 14 adult tickets and 8 student tickets for a total of $376. the next day, she sold 7 adult tickets and 11 student tickets for a total of $272. krissa wanted to find the price of one adult ticket, a, and the price of one student ticket, s. she wrote and solved the following system of equations.