SOLUTION: Mrs. Haines, Mrs. Nuemann and Mrs. Dowd shared a sum of money. Mrs. Haines took 1/3 of the total amount, Mrs. Nuemann took 1/4 of the remaining money. After both of them had taken

Question 934547: Mrs. Haines, Mrs. Nuemann and Mrs. Dowd shared a sum of money. Mrs. Haines took 1/3 of the total amount, Mrs. Nuemann took 1/4 of the remaining money. After both of them had taken their share, Mrs. Dowd took 1/2 of what was left. If Mrs. Haines took $160, how much did Mrs. Dowd take?

Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = dollars for haines = 160
y = dollars for nuemann
z = dollars for dowd
w = total amount
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x = w/3
160 = w/3
w = 160*3
w = 480
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y = (480 - 160)/4
y = 80
---
z = (480 - 160 - 80)/2
z = dollars for dowd = 120
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