SOLUTION: Distribute $6,750 among Fred, Grace, and Aaron. Grace should receive twice as much as Fred and Aaron three times as much as Grace.
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Question 168617: Distribute $6,750 among Fred, Grace, and Aaron. Grace should receive twice as much as Fred and Aaron three times as much as Grace. Found 2 solutions by midwood_trail, josmiceli:Answer by midwood_trail(310) (Show Source):
You can put this solution on YOUR website! Distribute $6,750 among Fred, Grace, and Aaron. Grace should receive twice as much as Fred and Aaron three times as much as Grace.
Fred = x
Grace = 2x
Aaron = 3(2x)
Then:
x + 2x + 3(2x) = 6750
x + 2x + 6x = 6750
9x = 6750
x = 6750/9
x = 750
Fred gets x or $750.
Grace gets 2x or 2(750) = $1,500
Aaron gets 3(2x) or 3(1500) = $4,500
I hope that helps.
You can put this solution on YOUR website! = amount Fred gets = amount Grace gets = amount Aaron gets
Given:
(1)
(2)
(3)
-------------
From (1)
(4)
Now substitute (2) and (4) into (3)
(3)
(4)
Multiply both sides by
(5)
(6)
(7)
Substitute this back in (2)
(2)
(8)
(9)
Substitute (7) into (4)
(4)
{10)
(11)
Fred gets $750, Grace gets $1500, Aaron gets $4500
check:
(1)
(2)
(3)
--------------
(1)
(12)
(13)
--------------
(2)
(14)
(15)
--------------
(3)
(16)
(17)
OK
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