SOLUTION: During dinner, the guess were told to share dishes with one another. Every two of them share a dish for rice, every three share a dish for broth and every four share a dish for mea

Question 1003737: During dinner, the guess were told to share dishes with one another. Every two of them share a dish for rice, every three share a dish for broth and every four share a dish for meat. If there are 65 dishes in all, how many guess were there?
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
Every two shared a dish of rice
2 people= 1 dish
1 person= 1/2 dish
---------------------
Every three shared a dish of broth:
3 people = 1 dish
1 person = 1/3
----------------------
Every four share a dish of meat
4 people = 1 dish
1 person= 1/4
-----------------------------
1/2+1/3+1/4=
6/12+4/12+3/12=
13/12
-----------------------------
65/(13/12)=
(65*12)/13=
60 guests

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