What is the largest number of apples not exceeding 440 that can be distributed among three persons in the proportions of 5:6:7?
A. 420
B. 432
C. 436
D. 440
Answer: Option B
Solution(By Examveda Team)
Let the number of apple divided be 5x, 6x, 7x.So the total number of apples = 5x + 6x + 7x = 18x
According to the question,
Total number of apple must not exceed 440
18x <= 440
x <= 24.444
but x has to be an integer so x = 24
So total number of apples = 18x = 18*24 = 432
The divided number of apples are 120, 144, 168.
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