Q:

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 2323 as many pastries as Mikhail, and 5858 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. 3X203X20 B. 9X409X40 C. 1X41X4 D. 3X83X8 E. 5X12

Accepted Solution

A:
Answer:[tex]\frac{9x}{40}[/tex] is the answer.Step-by-step explanation:The question has some typo errors.Rashid and Mikhail submitted a total of x pastries to a baking competition.Suppose say : Mikhail made x pastries . Hence Rashid made [tex]\frac{2x}{3}[/tex] pastries. And in total they made [tex]\frac{5x}{3}[/tex] pastries.Now we have that out of x, [tex]\frac{5}{8}[/tex] of x were brushed with olive oil. So, [tex]\frac{3}{8}[/tex] of x that is [tex]\frac{3x}{8}[/tex] are brushed by butter.So, it becomes [tex](\frac{3}{8}) / ( \frac{5x}{3} )[/tex]= [tex]\frac{3}{8} \times\frac{3x}{5}[/tex] = [tex]\frac{9x}{40}[/tex]Hence, answer is option B.