SOLUTION: If Linda, Ella and Sam share an amount of $150 such that Sam receives 3/2 times as much as Ella and Ella receives 3 times as much as Linda. Find the share of Linda

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Question 1156674: If Linda, Ella and Sam share an amount of $150 such that Sam receives 3/2 times as much as Ella and Ella receives 3 times as much as Linda. Find the share of Linda
Answer by ikleyn(52781) About Me  (Show Source):
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Let x be the share of Linda.


Then the share of Ella is 3x, while the share of Sam is %283%2F2%29%2A%283x%29.


The equation representing the total is


    x + 3x + %283%2F2%29%283x%29 = 150.


Solve and find x.