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?

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?

Steve · Answer

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