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A train is travelling from station A to E. - At station A, 80 persons board in the ratio of males to females of 9:7. - At station B, 15 men get down and 5 women board the train. - At station C, half of the women get down and the same number of women board the train. - At station D, x number of men get down, and now the ratio of males to females is 5:8. Find the ratio of the total number of passengers travelling from station D to E and from station B to C.
- 8:7
- 5:6
- 12:11
- 13:14
Correct answer: 13:14
Solution
Start with 80 passengers in the ratio 9:7, so males = 45 and females = 35. After station B and C, update the counts carefully; then use the ratio 5:8 at station D to find the number of men who got down. Comparing the total passengers between B to C and D to E gives the ratio 13:14.
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