Homer is giving some cookies to each of
his three brothers. To the oldest, he gives
half of the cookies and half a cookie. He
then gives half of what is left and half a
cookie to his second brother. Finally, he
gives half of what is now left and half a
cookie to his youngest brother. At no
time is a cookie broken or cut. How many
cookies did Homer have to begin with?
(HINT: Work backwards.)

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Today at 10:32 PM
Mathematics

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Homer is giving some cookies to each of
his three brothers. To the oldest, he gives
half of the cookies and half a cookie. He
then gives half of what is left and half a
cookie to his second brother. Finally, he
gives half of what is now left and half a
cookie to his youngest brother. At no
time is a cookie broken or cut. How many
cookies did Homer have to begin with?
(HINT: Work backwards.)

Answer :

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adefunkeadewole adefunkeadewole · Answer 1 · 2025-03-29T22:37:42-04:00

Answer:

7 cookies

Step-by-step explanation:

We have 3 brothers

First , Second, Third

Let the total number cookies be represented by A

1 cookie = 1

Working backwards, we start from the third brother

If we work backwards

It means he gave everything away

We start from the youngest

He was given 1/2 of what was left and 1/2 a cookie

This means,

1/2 + 1/2 = 1

The second brother

He got half of what is left and 1/2 a cookies

Half of what is left from brother

= What the youngest brother got + 1/2 + 1/2 a cookie

= 1 + 1/2 + 1/2

= 1.5 + 1/2

= 2 cookies

For the first brother

He got 1/2 of the cookies + 1/2 cookie

= 1.5 × 2 + 1/2 + 1/2 cookies

= 3 1/2 + 1/2

= 4 cookies

The first brother got 4 cookies

The second brother got 2 cookies

The third broth got 1 cookies

topeadeniran2 topeadeniran2 · Answer 2 · 2025-03-29T22:37:24-04:00

Based on the information given, the total number of cookies will be 7 cookies.

Based on the information given, the number of cookies that was given to the youngest child will be:

= 1/2 + 1/2 = 1

The number of cookies that the second brother will get will be:

= 1 + 1/2 + 1/2

= 2

Therefore, the number of cookies that the first brother got will be:

= 3 1/2 + 1/2

= 4

In conclusion, the total number of cookies will be:

= 1 + 2 + 4 = 7

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