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Every two guests shared a plate of fruit between them every three used a bowl of broth between them and every four shared a platter of beef they used 65 dishes in all. How many came to dinner?
Wiki User
∙ 15y ago
60 people came to dinner. See below
Let X = number of people
Fruit Broth Beef Total Bowls used
X/2 X/3 X/4 65
LCD = 12
6X/12 + 4X/12 + 3X/12 = 65
13X/12 = 65
X = 65*12/13
X = 780/13
X = 60
60 people were served.
This makes sense because:
60 people eat 30 bowls of Fruit (each bowl of fruit serves 2)
60 people eat 20 bowls of broth (each bowl of broth serves 3)
60 people eat 15 bowls of beef (each bowl of beef serves 4)
30 bowls of fruit + 20 bowls of broth + 15 bowls of beef = 65 bowls used
- YK 04/18/2009
Wiki User
∙ 15y ago
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