Pastries made out of filo dough and brushed with either olive oil or butter (but not both). Pastries made out of shortcr

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Pastries made out of filo dough and brushed with either olive oil or butter (but not both). Pastries made out of shortcrust dough are not brushed with anything. Rashid and Mikhail submitted a total of \(x\) pastries to a baking competition. Mikhail used filo dough for all of his pastries, Rashid used the shortcrust dough for all of his pastries, and each pastry was made using only one kind of dough. If Rashid made \(\dfrac23\) as many pastries as Mikhail, and \(\dfrac58\) of the filo dough pastries were brushed with olive oil, then how many of the pastries submitted by Rashid and Mikhail, in terms of \(x,\) were brushed with butter?

A. \(\dfrac{3x}{20}\)

B. \(\dfrac{9x}{40}\)

C. \(\dfrac{x}4\)

D. \(\dfrac{3x}8\)

E. \(\dfrac{5x}{12}\)

Answer: B

Source: Manhattan GMAT
Source: — Problem Solving |