ankurmit wrote:A sum of money was among Lyle, Bob and Chloe. First, Lyle received 4 dollars plus one-half of what remained. Next, Bob received 4 dollars plus one-third of what remained. Finally, Chloe received the remaining $32. How many dollars did Bob receive?
20
26
35
40
45
Use the only known value -- that Chloe received 32 -- to determine Bob's amount.
Let C = 32, B = Bob, R = remainder after Bob took 4.
Since Bob received (1/3)R, Chloe received (2/3)R.
Thus, 32 = (2/3)R, and R = 48.
Thus, B = (1/3)R + 4 = (1/3)*48 + 4 = 20.
The correct answer is
A.
Last edited by
GMATGuruNY on Wed Mar 21, 2012 11:44 am, edited 1 time in total.
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