Posted by **rick** on Sunday, July 15, 2012 at 7:58pm.

The queen asked her cook how many guests had attended a recent banquet. “I do not know, my lady” he said, “but every two guests shared a plate of fruit between them, every three used a bowl of broth among them, and every four shared a platter of beef. I used 65 serving dishes in all”. The queen was able to compute the number of guests using this information. How many guest were there?

please explain how you got it

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**Ms. Sue**, Sunday, July 15, 2012 at 8:33pm
Here is Steve's answer:

g/2 + g/3 + g/4 = 65

13g/12 = 65

g = 60

In the second line, he found the common denominator -- which is 12. Then he converted to equivalent fractions. : g/2 = 6g/12

g/3 = 4g/12

g/4 = 3g/12

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**rick**, Sunday, July 15, 2012 at 9:16pm
O ok thanks i reaally appreciate it

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**Ms. Sue**, Sunday, July 15, 2012 at 9:23pm
You're welcome.

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