3/7 = 6/14 (fraction of total that are men)

1 - 3/7 = 4/7 = 8/14
(fraction of total that are women and children)

⅝ × 4/7 = 5/14
(fraction of the total that are women)

1 - 4/7 - 5/14 = 1 - 6/14 - 5/14 = 6/14
(fraction of the total that are children)


This tells you that ratio of men to women to children
= 6 : 5 : 3


Men → 2 vouchers each
Women → 8 vouchers each
Children → 5 vouchers each


Next, grouping concept.


6 men, 5 women, 3 children in 1 group.

Number of vouchers in 1 group
= 6 × 2 + 5 × 8 + 3 × 5
= 12 + 40 + 15
= 67

Number of groups
= 1541 ÷ 67
= 23

Number of children = 23 groups × 3 per group
= 69

Number of vouchers collected by them
= 69 × 5
= 345