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5 votes
In a cookie jar 1/5 of the cookies are peanut butter and 1/4 of the remaining cookies are cinnamon sugar. What fraction of all the cookies are cinnamon sugar

User Vmalloc
by
6.2k points

2 Answers

2 votes

Final answer:

1/4 of the remaining 4/5 of cookies being not peanut butter are cinnamon sugar, which means 1/5 of all the cookies in the jar are cinnamon sugar.

Step-by-step explanation:

If 1/5 of the cookies in a jar are peanut butter cookies, then 4/5 of the cookies are not peanut butter. Out of these, 1/4 are cinnamon sugar cookies. To find the fraction of all the cookies that are cinnamon sugar, we multiply these two fractions.

First, let's calculate the fraction of the remaining cookies:

  1. Calculate the remaining cookies: 4/5 (since 1/5 are peanut butter).
  2. Determine the cinnamon sugar cookies: 1/4 of the remaining 4/5 cookies are cinnamon sugar.
  3. Calculate the fraction for cinnamon sugar cookies: (1/4) * (4/5) = 1/5.

Therefore, 1/5 of all the cookies are cinnamon sugar.

User Abhay Dwivedi
by
6.6k points
3 votes

Answer:

3/5

Step-by-step explanation:

User Berry Ligtermoet
by
6.2k points