at a wedding meal:
1/3 guest have pasta
5/12 have chicken
24 guest have beef
How many guests at the wedding?
Please help
Assuming no-one had both pasta and chicken
1/3 + 5/12 → 4/12 + 5/12 → 9/12 → 3/4 i.e. 3/4 of the guests ate the pasta and chicken
Assuming the remaining 1/4 ate the beef, then (1/4)N = 24 (where N is total number of guests).
N = 24*4 or N = 96 i.e. there are 96 guests in total.