The average (arithmetic mean) weight of \(5\) crates is \(250\) pounds. The \(2\) lightest crates weigh between \(200\) and \(205\) pounds each, inclusive, and the \(2\) heaviest crates weigh between \(300\) and \(310\) pounds each, inclusive. If the weight of the fifth crate is \(x\) pounds, then \(x\) is expressed by which of the following?

A) \(220 \le x \le 250\)

B) \(230 \le x \le 260\)

C) \(240 \le x \le 270\)

D) \(250 \le x \le 270\)

E) \(260 \le x \le 280\)

Answer: A

Source: Princeton Review