This year, \(x\) people won an Olympic medal for water competitions. One-third of the winners earned a medal for swimmin

[Vincen]

This year, \(x\) people won an Olympic medal for water competitions. One-third of the winners earned a medal for swimming and one-fourth of those who earned a medal for swimming also earned a medal for diving. How many people won an Olympic medal for water competitions but did not both receive a medal for swimming and a medal for diving?

(A) \(\dfrac{11x}{12}\)

(B) \(\dfrac{7x}{12}\)

(C) \(\dfrac{5x}{12}\)

(D) \(\dfrac{6x}7\)

(E) \(\dfrac{x}7\)

Answer: A

Source: Veritas Prep