During a certain week, XYZ ate 50 percent of the first 80 : PS Archive
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# During a certain week, XYZ ate 50 percent of the first 80

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Director
Joined: 26 Feb 2006
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During a certain week, XYZ ate 50 percent of the first 80 [#permalink]

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14 May 2007, 19:46
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During a certain week, XYZ ate 50 percent of the first 80 banana it came across, and 30 percent of the remaining banana it came across. If XYZ ate 40 percent of the banana it came across during the entire week, how many banana did it eat?

32
40
55
64
80
Director
Joined: 18 Jul 2006
Posts: 528
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14 May 2007, 20:25
D. 64

X => total babana.

0.5*80+0.3*(X-80) = 0.4*X =>X=160
banana it ate =>.5*80+.3*(160-80) = 64
Senior Manager
Joined: 03 May 2007
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14 May 2007, 20:28
x is the remainding number of bananas

0.5*80+0.3x=0.4(80+x)

x=80

40+0.3*80=64

14 May 2007, 20:28
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