18 boys and 9 girls shared some sweets equally. Each boy gave 1/4 of his sweets to the girls. As a result, each girl received 12 more sweets than each boy. Find the total number of sweets shared at first.
Let the total number of sweets==C
Let the share of each boy and each girl=s
C/27==s.....................................(1)
18s - 1/4*(18s) ==9 [s +12].........(2), solve for s, C
Use substitution to get:
C==648 - total number of sweets.
s==24 sweets - originally shared by 18 boys and 9 girls each.