SOLUTION: I am in college algebra. My problem is: Uncle Albert's estate is to be divided among his three nephews. The will specifies that Daniel receive 1/2 of the amount that Brian rece

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Question 640210: I am in college algebra. My problem is:
Uncle Albert's estate is to be divided among his three nephews. The will specifies that Daniel receive 1/2 of the amount that Brian receives and that Raymond receive $1000.00 less than 1/3 of the amount that Brian receives. If the estate amounts to $25,400, then how much does each inherit?

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

I am in college algebra. My problem is:
Uncle Albert's estate is to be divided among his three nephews. The will specifies that Daniel receive 1/2 of the amount that Brian receives and that Raymond receive $1000.00 less than 1/3 of the amount that Brian receives. If the estate amounts to $25,400, then how much does each inherit?

Let amount that Brian should receive be B
Then Daniel should receive ˝B
Raymond should get: %281%2F3%29B+-+1000, or %28B%2F3%29+-+1000

We now have: B+%2B+%281%2F2%29B+%2B+%28B%2F3%29+-+1000+=+25400
6B + 3B + 2B – 6,000 = 152,400 ------ Multiplying by LCD, 6
11B = 152,400 + 6,000
11B = 158,400

B, or amount Brian inherits = 158400%2F11, or $highlight_green%2814400%29
Daniel inherits: ˝(14,400), or $highlight_green%287200%29
Raymond inherits: %2814400%2F3%29+-+1000, or 4,800 – 1,000, or $highlight_green%283800%29

You can do the check, I’m sure!!

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