This is more a riddle than math.
In my opinion, it is hinged on the word "equally", which could mean equally to the dollar, or to the cent.
Taking the first case: everyone has an equal number of dollars.
Factoring 5130, we have as prime factors:
2,3³,5,19, which give rise to the following possible factors:
1,2,3,6,9,10,15,18,19,27,30,38,45,54,57,... up to 5130
So the original number of family members can be any of those numbers (factors).
If the family members are all sibblings born to the same mother, the maximum number is 69 (record set in the 18th century by a Russian family), see
http://www.guinnessworldrecords.com/world-records/3000/most-prolific-mother-ever
If divided to an equal number of cents, there will be even more possibilities.
$5130 is to be divided equally among the members of a family group. Eight members of the family obtained knowledge of the loot and insisted their share.
Determine the original number of family members.
I don't want the answer just need to know the formula to work it out... or a similar question to this as an example
1 answer