SOLUTION: A $40 000 inheritance was divided among 3 brothers, John, Daniel and Philip. John received $2000 less than Daniel. Daniel received $3000 more than Philip. How much money did eac

Question 443879: A $40 000 inheritance was divided among 3 brothers, John, Daniel and Philip. John received $2000 less than Daniel. Daniel received $3000 more than Philip. How much money did each brother receive?
Found 2 solutions by chriswen, josmiceli:
Answer by chriswen(106) (Show Source): You can put this solution on YOUR website!
Let $x be the amount of inheritance Daniel receives.
Let $x-2000 be the amount of inheritance John receives.
Let $x-3000 be the amount of inheritance Philip received.
x+x-2000+x-3000=40000
3x-5000=40000
3x=40000+5000
3x=45000
x=45000/3
x=15000
x-2000=13000
x-3000=12000
Therefore, Daniel received $15 000 inheritance, John received $13 000 inheritance, and Philip received $12 000 inheritance.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = John's share
Let = Daniel's share
Let = Philip's share
given:
(1)
(2)
(3)
-----------------
This is 3 equations and 3 unknowns,
so it's solvable
(3)
(3)
Substitute (2) and (3) in (1)
(1)
(1)
(1)
(1)
(1)
and
(2)
(2)
(2)
and
(3)
(3)
(3)
$13,000 is John's share
$15,000 is Daniel's share
$12,000 is Philip's share
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