Posted by Matthew on Wednesday, December 11, 2013 at 5:14pm.
LCM(6,14) = 42, so the 42nd guest will receive both.
For the mints, 256 guests at 1/12 lb/guest shows she needs
256/12 = 21.33 lbs of mints
8 1/2 lbs only serves 102 guests (8*12 + 6)
For the first one:
if you have to, just list em all out
Mugs: 6,12,18,24,30,36,42,48,54,60....
Shirts: 14,28,42,56,70....
See any numbers in common so far? Yep: the 42. So the 42nd guest will get both
Second one: Can't figure it out, cuz not enough information, did you leave something out, like how many place settings there are?
Yeah what Steve said
No she won't have enough
I agree with sam
You have to find the LCM=Least Common Multiple.
So if your prime factorize 6 and 14 you will get 3x2 for 6 and 7x2 for 14.
There is a set of 2's so you take one and cross out the other. Now take 3 and 7 since this is LCM we keep the remaining.
7x3x2=42
42th visit
*42nd
You have to list the factors
So 42th person