$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.
See http://www.jiskha.com/display.cgi?id=1408443950
Also, note that factors must exceed 8, from the context of the question.
To determine the original number of family members, we can divide the total amount of money ($5130) by the amount each member received when the loot was divided equally.
Let's assume that the original number of family members is "x".
If x family members share the loot equally, each member would receive $5130 divided by x.
Since eight members of the family insisted on receiving their share, it means that the remaining members would receive the remaining portion of the money. Therefore, the equation can be set up as follows:
(x - 8) * ($5130 / x) = $5130
Simplifying the equation further:
(x - 8) * x = $5130
Expanding the equation:
x^2 - 8x = $5130
Rearranging the equation:
x^2 - 8x - $5130 = 0
Now we can solve this quadratic equation to find the value of x. You can either factorize the equation or use the quadratic formula to solve for x. Once you find the value of x, it will represent the original number of family members before the eight members insisted on their share.