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An airplane is carrying 500 passengers, of which 45% are men and 20% are children. The ratio of the number of men, women and children in the lowest te
Question

An airplane is carrying 500 passengers, of which 45% are men and 20% are children. The ratio of the number of men, women and children in the lowest terms is:

A.

4 : 7 : 9

B.

7 : 4 : 9

C.

9 : 7 : 4

D.

9 : 4 : 7

Correct option is C


Given:
· Total passengers = 500
· Men = 45% of 500 = 225
· Children = 20% of 500 = 100
· Women = Total passengers - Men - Children = 500 - 225 - 100 = 175
Concept Used:
· Find the ratio of men, women, and children and reduce it to the lowest terms.
Solution:
1. Men = 225
2. Women = 175
3. Children = 100
Now, find the ratio of men, women, and children: 225 : 175 : 100
Simplify the ratio by dividing all terms by 25: 9 : 7 : 4
Final Answer: (c) 9 : 7 : 4

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