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Question: 4
Suresh has Z KGs of vegetables in his home Suresh's uncle came to his house and took half the
quantity of vegetables and half a KG of vegetables. After that, Suresh's brother and cousin came one
after another and did the same. When they left Suresh's house, Suresh's sister came to his home
and he sadly told her that there are no vegetables left at his home
Which of the following best describes the value of Z?​

Answers

Answered by amitnrw
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Given : Suresh has Z KGs of vegetables in his home Suresh's uncle came to his house and took half the

quantity of vegetables and half a KG of vegetables. After that, Suresh's brother and cousin came one

after another and did the same. When they left Suresh's house, Suresh's sister came to his home

and he sadly told her that there are no vegetables left at his home

To Find : value of Z

Solution:

Initial  = Z kg

 Suresh's uncle came to his house and took half the

quantity of vegetables and half a KG of vegetables.

= Z/2 + 1/2

Remaining  = Z - ( Z/2   + 1/2)

= ( Z  - 1 ) /2

Suresh's brother came to his house and took half the

quantity of vegetables and half a KG of vegetables.  

=  ( Z  - 1 ) /4  + 1/2

Remaining  =  ( Z  - 1 ) /2   -  ( ( Z  - 1 ) /4  + 1/2 )

=  ( Z  - 1 ) /4  - 1/2

=  ( Z  - 3) /4

Suresh's cousin came to his house and took half the

quantity of vegetables and half a KG of vegetables.  

( Z  - 3) /8  +  1/2

( Z  - 3) /4  = ( Z  - 3) /8  +  1/2  as nothing left

=>  ( Z  - 3) /8   = 1/2

=> Z - 3 = 4

=>  Z =  7

Initially  7 kg  vegetable were there  

7

3

1

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