gmat1393 wrote:
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 shortcrust dough for all of his pastries, and each pastry was made using only one kind of dough. If Rashid made \(\frac{2}{3}\) as many pastries as Mikhail, and \(\frac{5}{8}\) 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. \(\frac{3X}{20}\)
B. \(\frac{9X}{40}\)
C. \(\frac{1X}{4}\)
D. \(\frac{3X}{8}\)
E. \(\frac{5X}{12}\)
Let take the number of pastries of Mikhail and Rashid as the value below:
Mikhail: m => Rashid = 2m/3
5/8 of the filo dough pastries were brushed with olive oil & Only Mikhail used filo so the number of pastries with olive oil = 5m/8 =>
Pastries with butter = m- 5m/8 = 3m/8 (filo dough and brushed with either olive oil or butter (but not both))
(*)Total pastries submitted by Mikhail & Rashid = m+ 2m/3 = 5m/3 = x =>
m = 3x/5 (**)From (*) & (**) we have the pastries submitted by Rashid and Mikhail, in terms of x, were brushed with butter: 3/8 * 3x/5 = 9x/40. Hence B
_________________
"It Always Seems Impossible Until It Is Done"