Question

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

Answer 1

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

Answer 2

O ok thanks i reaally appreciate it

Answer 3

You're welcome.