Posted by nheil on .
a man left 1\2 of his estate to his wife, 1\6 to his daughter, and the remainder an amount of $15,000, to his son. How large was the entire estate?

college algebra 
Reiny,
entire estate value  x
x  (x/2 + x/6) = 15000
times 6
6x  3x  x = 90000
2x = 90000
x = 45000
check
wife gets 22500
daughter gets 45000/6 = 7500
leaving 15000 for son
all adds up nicely.