Question 858141: In uncle dumpy's will, dudley was to get half as much as Dolores and Dimpy was to get half as much as Dudley. If the amount to be disbursed is $147 000, How much does each person receive
Found 2 solutions by JulietG, lwsshak3:
Answer by JulietG(1812)   (Show Source):
You can put this solution on YOUR website! Well, we know who HIS favorite was!
D = 2Y [dudley (Y) was to get half as much as Dolores (D)]
2M = Y [Dimpy (M) was to get half as much as Dudley.] or, M = .5Y
.
D + M + Y = 147,000
Let's substitute values so that they're all Y
(2Y) + (.5Y) + Y = 147000
Add
3.5Y = 147000
Divide each side by 3.5
Y = 42,000
If Dudley gets 42k and that is half as much as Dolores, then Dolores gets 84k.
If Dudley gets 42k and Dimpy gets half that much, then Dimpy gets 21k.
42k + 84k = 21k = 147k
Answer by lwsshak3(11628)  (Show Source):
You can put this solution on YOUR website! In uncle dumpy's will, dudley was to get half as much as Dolores and Dimpy was to get half as much as Dudley. If the amount to be disbursed is $147 000, How much does each person receive
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let x=amt Dolores receives
x/2=amt Dudley receives
x/4=amt Dimpy receives
LCD:4
4x+2x+x=147000
7x=147000
x=21000
x/2=10500
x/4=5250
amt Dolores receives=$21,000
amt Dudley receives=$10,500
amt Dimpy receives=$5,250
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