Mary prepared \(x\) pounds of pasta for the \(y\) people expected to attend a banquet. If only \(z\) of these \(y\) peop

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Mary prepared \(x\) pounds of pasta for the \(y\) people expected to attend a banquet. If only \(z\) of these \(y\) people actually attend, such that \(z < y,\) how many pounds of pasta will be left over if Mary serves the originally intended portion to each of the guests in attendance?

(A) \(\dfrac{x(y - z)}{y}\)

(B) \(\dfrac{zx}{y}\)

(C) \(\dfrac{x - z}{y}\)

(D) \(\dfrac{x(z - y)}{y}\)

(E) \(\dfrac{x(y + z)}{y}\)

Answer: A

Source: Manhattan GMAT