As it is clear from the figure
three circles, denote the three dishes of rice, broth and meat. As two people
share the rice dish, therefore I divided it into two equal parts so that each
person got half the portion of rice. After that, I divided broth dish into
three equal parts as three people share it and each person got 1/3 part of
broth. Similarly, I divided the meat dish into four equal parts as four people
shared it so that each person got ¼ of meat. Overall, each person got half of
rice ,1/3 of broth and ¼ of meat which
is equal to 1/2+1/3+1/4 = 13/12 of the total food of each kind . As there are
65 dishes therefore total number of
person who will share 65 dishes
=65/13/1.
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