A father divides his estate among his three sons, in such a manner, that:
The first has $1000 less than half of the whole;
The second has 800 less than one third of the whole;
The third has 600 less than one fourth of the whole;
What is the value of the estate?
Select the correct option:
A) 18800	B) 28800	C) 38800	D) 48800	E) None
Solution   If the whole estate be represented by x, then the several shares will be x/2 - 1000, and x/3 - 800, and x/4 - 600.   And as these constitute the whole estate, they are together equal to x.   We have then this equation x/2 - 1000 + x/3 - 800 + x/4 - 600 = x.   Which reduced gives x = 28800   Proof 28800/2 - 1000 + 28800/3 - 800 + 28800/4 - 600= 
<gadget id="calculator">28800/2 - 1000 + 28800/3 - 800 + 28800/4 - 600</gadget>
<output>28_800</output>
28800   Answer 28800
<result>B</result>
A father divides his estate among his three sons, in such a manner, that:
The first has $1000 less than half of the whole;
The second has 800 less than one third of the whole;
The third has 600 less than one fourth of the whole;
What is the value of the estate?