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

Question

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.)

in progress 0
Thiên Di 4 years 2021-08-10T19:59:29+00:00 1 Answers 78 views 0

Answers ( )

  1. bonexptip
    0
    2021-08-10T20:00:37+00:00
    Reply

    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

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )