John has some apples, and two brothers, Jack and Jim.
John eats 3 of his apples and splits the remainder equally between himself and each one of his
brothers. Jack and Jim both eat half the apples they have been given. Together the three
brothers have 4 apples left.
How many apples did John start with?
Answers
Answer:
9
Step-by-step explanation:
4=2+1+1
2+2+2=6
6+3=9
Given : John has some apples, and two brothers,
John eats 3 of his apples and splits the remainder equally between himself and each one of his brothers
Jack and Jim both eat half the apples they have been given.
. Together the three brothers have 4 apples left.
To Find : apples John start with
Solution:
Assume that John Started with Apples = 18x + 3
John eat = 3
Left = 18x + 3 - 3 = 18x
Splits the remainder equally between himself and each one of his brothers
Hence
Each has = 18x/3 = 6x
Left with John = 6x
Jack and Jim both eat half the apples they have been given.
=> both eat = 6x/2 = 3x
Left with Jack and Jim = 6x - 3x = 3x each
Total Left = 6x + 3x + 3x = 12x
12x = 4
=> x = 4/12
=> x = 1/3
=> 18x = 6
=> 18x + 3 = 6 + 3
=> 18x + 3 = 9
Hence John Started with 9 Apples
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