SOLUTION: Ian, Jack, Kumar and Leon had 431 lollipops altogether. After Ian doubled the
number of his lollipops, Jack ate 16 lollipops, Kumar ate 3/5 of his and Leon bought
25 lollipops,
Algebra ->
Percentage-and-ratio-word-problems
-> SOLUTION: Ian, Jack, Kumar and Leon had 431 lollipops altogether. After Ian doubled the
number of his lollipops, Jack ate 16 lollipops, Kumar ate 3/5 of his and Leon bought
25 lollipops,
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Question 1184053: Ian, Jack, Kumar and Leon had 431 lollipops altogether. After Ian doubled the
number of his lollipops, Jack ate 16 lollipops, Kumar ate 3/5 of his and Leon bought
25 lollipops, they had an equal number of lollipops left. How many lollipops did
Leon have at first? Answer by 54929(12) (Show Source):
You can put this solution on YOUR website! Suppose at the beginning: Jack had x Ian had m
Kumar had y
Leon had z
According to the question : x + y + z + m = 431
Then, Ian doubled the number of his lollipops : 2m
Jack ate 16 lollipops : x-16
Kumar ate 3/5 of his : y - 3/5y = 2/5y
Leon bought 25 lollipops: z + 25
They had an equal number of lollipops left.
So 2m = x-16 = 2/5y = z + 25
So x = 2m + 16 y = 5m z= 2m - 25
So x + y + z + m = 2m + 16 + 5m + 2m - 25 + m
= 10m - 9 = 431
10m = 440
m = 44
So x = 104 y = 220 z = 63 m = 44
So Leon had 63 lollipops at first.
