Question

Uncle Albert's estate is to be divided among his three nephews. The will specifies that Daniel receive one-half of the amount that Brain receives and that Raymond receive $1,000 less than one-third of the amount that Brain receives. If the estate amounts to $25,400 then how much does each inherit?

Answer 1

d = b/2
r = b/3 - 1000

d + b + r = 25400
b/2 + b + b/3 - 1000 = 25400
11b/6 = 26400
b = 14400
d = 7200
r = 3800