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Pastries made out of filo dough and brushed with either olive oil

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Pastries made out of filo dough and brushed with either olive oil  [#permalink]

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New post 17 Nov 2018, 20:47
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Question Stats:

63% (02:59) correct 38% (02:58) wrong based on 112 sessions

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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 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. \(\frac{5X}{12}\)

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Pastries made out of filo dough and brushed with either olive oil  [#permalink]

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New post 17 Nov 2018, 21:18
Suppose say : M made x pastries . Hence R made 2x/3 pastries. They total made 5x/3 pastries.
Now out of x, 5/8 th were brushed with olive oil. So 3/8 th of x i.e. 3x/8 are brushed by butter.
Thus this 3/8 is (3/8)/(5/3) i.e 9x/40 of total. Hence Ans B.
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Pastries made out of filo dough and brushed with either olive oil  [#permalink]

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New post 03 Mar 2019, 00:08
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
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Re: Pastries made out of filo dough and brushed with either olive oil  [#permalink]

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New post 03 Mar 2019, 00:23
Was easy to pick a number here.

Selected total filo pastries=24 (to keep the denominators common)
hence in the Filo pastries, 15 with Olive oil, 9 with butter

Shortcut pastries= 2/3(24)=16
therefore total pastries submitted= 40.

9/40 pastries is brushed with butter.

Ans=B
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Re: Pastries made out of filo dough and brushed with either olive oil   [#permalink] 03 Mar 2019, 00:23
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