SOLUTION: 1/7th of passenger of a train are children..3/5 of passenger were gents and rest ladies..if number of ladies was 360..find total number of passenger in the train

Question 837706: 1/7th of passenger of a train are children..3/5 of passenger were gents and rest ladies..if number of ladies was 360..find total number of passenger in the train
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
presumably the number of children is not counted in the number of gents and ladies.
you have:
1/7 = children
3/5 = gents
since the total must be equal to 1, you have:
1/7 + 3/5 + x = 1
convert to the least common multiple to get:
5/35 + 21/35 + x = 35/35
simplify to get:
26/35 + x = 35/35
solve for x to get:
x = 35 - 26 = 9

you now have:
5/35 + 21/35 + 9/35 = 35/35

9/35 of the total is equal to ladies which is equal to 360.

let y equal the number of people on the train.

9/35 * y = 360
solve for y to get:
y = 360 * 35 / 9 which makes y = 1400

there were 1400 people on the train.

1/7 * 1400 = children = 200
3/5 * 1400 = gents = 840
9/35 * 1400 = ladies = 360

numbers check out so the answer is that the total number of passengers on the train was 1400.

RELATED QUESTIONS
OUT OF 8 LADIES AND 7 GENTS, 3 LADIES AND 4 GENTS ARE SELECTED FOR A COMMITTEE. PROVIDED... (answered by edjones)

3 ladies and 3 gents can be seated at a around table so that any two and only two of the... (answered by ewatrrr)

3 ladies and 3 gents can be seated at a round table sothat any two and only two of ladies (answered by Edwin McCravy)

3 ladies &3 gents can be seated at a round table so that any two & only two of the ladies (answered by Edwin McCravy)

one group there was 7 male and some ladies. probability of chosing two ladies is 1/15. so (answered by tommyt3rd)

A train started is Journey from city hall interchange.At the first stop.2/5 of the... (answered by ankor@dixie-net.com)

a committee of 3 is to be formed from a group consisting of 5 men and 2 ladies. find the... (answered by Edwin McCravy)

Hello ladies and gents, if I could get this solved, I would be grateful. I don't have a... (answered by josgarithmetic)

a class consists of 8 men and 7 ladies. two students were selected randomly to represent... (answered by ikleyn)