SOLUTION: Alice has nine dollars. Bob has the same amount of money as the sum of all of Alice's money and half of Carlos money. Carol has the same amount of money as Alice and Bob combined.

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Question 823576: Alice has nine dollars. Bob has the same amount of money as the sum of all of Alice's money and half of Carlos money. Carol has the same amount of money as Alice and Bob combined. If the three people pool their money , how much cash will they have in all? SHOW WORK!
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Alice has nine dollars.
Bob has the same amount of money as the sum of all of Alice's money and half of Carol's money.
b = .5c + 9
Carol has the same amount of money as Alice and Bob combined.
c = b + 9
replace b with (.5c+9)
c = .5c+9 + 9
c -.5c = 18
.5c = 18
c = 36
Find b
b = .5(36) + 9
b = 27
:
If the three people pool their money , how much cash will they have in all?
a + b + c
9 + 27 + 36 = $72