Sawyer is mixing up a salad dressing. Regardless of the number of servings, the recipe requires that 5/8 of the finished dressing mix be peanut oil, 1/4 vinegar, and the remainder an even mixture of salt, pepper and sugar. If Sawyer accidentally doubles the vinegar and forgets the sugar altogether, what proportion of the botched dressing will be peanut oil?
Choose the correct choice from the following choices:
A) 15 / 29
B) 5 / 8
C) 5 / 16
D) 1 / 2
E) 13 / 27

Rationale: peanut oil = 5 / 8 = 15 / 24 - - > 15 parts out of 24 ; vinegar = 1 / 4 = 6 / 24 - - > 6 parts out of 24 ; salt + pepper + sugar = 1 - ( 15 / 24 + 6 / 24 ) = 3 / 24 , so each = 1 / 24 - - > 1 part out of 24 each ; if vinegar = 12 ( instead of 6 ) and sugar = 0 ( instead of 1 ) then total = 15 + 12 + 1 + 1 + 0 = 29 parts out of which 15 parts are peanut oil - - > proportion = 15 / 29 . answer : a .
Answer: A