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# When a certain tree was first planted, it was 4 feet tall,

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Joined: 28 Dec 2005
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When a certain tree was first planted, it was 4 feet tall, [#permalink]

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24 Apr 2006, 18:37
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When a certain tree was first planted, it was 4 feet tall, and the height of the tree increased by a constant amount each year for the next 6 years. At the end of the 6th year, the tree was 1/5 taller than it was at the end of the 4th year. By how many feet di the height of the tree increase each year?

A. 3/10
B. 2/5
C. 1/2
D. 2/3
E. 6/5

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Joined: 07 Jul 2004
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Location: Singapore

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24 Apr 2006, 18:42
Initial: 4 ft

End of 1st yr: 4+x
End of 2nd yr: 4+2x
End of 3rd yr: 4+3x
End of 4th yr: 4+4x
End of 5th yr: 4+5x
End of 6th yr: 4+6x

1/5(4+4x) + 4+4x = 4+6x
4/5 + 4x/5 + 4+4x = 4+6x
6x/5 = 4/5
x = 2/3

Kudos [?]: 436 [0], given: 0

24 Apr 2006, 18:42
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# When a certain tree was first planted, it was 4 feet tall,

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