Question

the ratio of the number of men to the number of women is 5:3. the ratio of number of women to the number of children is 2:5.find the ratio of number of children to the total number of men and women

Answer 1

Answer:

2:7

let say common ratio is k

so 5k women 2k men and 7k children

total people in the room = 5k+2k+7k=14k

stmt1: 5k+7k = 12 => k = 1

therefore, no of people is 14*1 = 14

stmt2: fewer than 4 men means men can be 1 2 or 3

if no of men is 1 dat means k is 0.5 and women = 5 * 0.5 = 2.5 not possible

if no of men is 2 dat means k is 1 and women = 5 and children = 7 possible

if no of men is 3 dat means k is 1/3 and women = 5/3 not possible

since there is only one case so we can deduce no of people from this stmt too