SOLUTION: During dinner the guests were told to share dishes with one another. Every 2 of them share a dish of rice, 3 for a dish of broth, every 4 for a dish for meat. If there are 65 dishe

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Question 1003141: During dinner the guests were told to share dishes with one another. Every 2 of them share a dish of rice, 3 for a dish of broth, every 4 for a dish for meat. If there are 65 dishes in all how many guests were there?
Answer by jorel555(1290) About Me  (Show Source):
You can put this solution on YOUR website!
Let n be the number of dinner guests. Then:
n/2+n/3+n/4=65
6n+4n+3n=780
13n=780
n=60
There were 60 guests!!!!!!!!!!!