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In Mathematics / High School | 2025-07-03

Tora bought a packet of cookies. There were 78 cookies inside the packet. She decided to give 2/3 of the cookies to her brother and 1/3 to her sister. How many cookies did her brother and sister get?

Brother: [tex]\frac{2}{3} \times 78 = 52[/tex]
Sister: [tex]\frac{1}{3} \times 78 = 26[/tex]

Asked by XxalyxX5151

Answer (1)

Tora has a packet of cookies containing 78 cookies in total. She decided to divide these cookies between her brother and sister in the following way:

Her brother receives 3 2 ​ of the cookies.
Her sister receives 3 1 ​ of the cookies.

To determine how many cookies each sibling receives, we need to perform the following calculations:

Calculating the number of cookies her brother receives:
We use the fraction 3 2 ​ applied to 78 cookies:
3 2 ​ × 78 = 3 2 × 78 ​ = 3 156 ​ = 52 cookies
Therefore, her brother receives 52 cookies.

Calculating the number of cookies her sister receives:
We use the fraction 3 1 ​ applied to 78 cookies:
3 1 ​ × 78 = 3 78 ​ = 26 cookies
Therefore, her sister receives 26 cookies.


In conclusion, Tora's brother receives 52 cookies, and her sister receives 26 cookies. This division ensures that all 78 cookies are distributed between her brother and sister correctly, maintaining a fair division as specified by the original fractions.

Answered by EmmaGraceJohnson | 2025-07-06

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