SOLUTION: There were three types of cookies in a shop. The number of peanut cookies was {{{5/12}}} of the total number of almond and butter cookies. If the number of almond cookies was {{{

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: There were three types of cookies in a shop. The number of peanut cookies was {{{5/12}}} of the total number of almond and butter cookies. If the number of almond cookies was {{{      Log On


   

Question 1184615: There were three types of cookies in a shop. The number of peanut cookies
was 5%2F12 of the total number of almond and butter cookies. If the number of
almond cookies was 1%2F2 of the number of butter cookies, express the number
of butter and peanut cookies as fraction of the total number of cookies in
the shop.
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Let x be the number of almond cookies; then the number of butter cookies is 2x. The total number of almond and butter cookies is then 3x.

The number of peanut cookies is 5/12 of that total: (5/12)(3x) = (15/12)x = (5/4)x.

The total number of cookies is then x+2x+(5/4)x=(17/4)x.
The total number of butter and peanut cookies is 2x+(5/4)x = (13/4)x.

ANSWER: ((13/4)/(17/4)) = 13/17