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When a certain tree was first planted it was 4 feet tall and

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When a certain tree was first planted it was 4 feet tall and [#permalink]

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New post 18 Aug 2008, 06:29
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

When a certain tree was first planted it was 4 feet tall and the height increased by a constant amount each year over the next six year. At the end of the sixth year the tree was 1/5 taller than it was at the end of the fourth year. By how many feet did the height of the tree increase each year?

a) 3/10
b)2/5
c) 1/2
d) 2/3
e)6/5

The answer is d--
Please highlight above for the answer.
can someone please give me a detailed explanation/solution for this problem . Many Thanks

Last edited by Ginc on 18 Aug 2008, 09:26, edited 1 time in total.

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Re: when a certain Tree;Fraction problem [#permalink]

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New post 18 Aug 2008, 08:49
When a certain tree was first planted it was 4 feet tall and the height increased by a constant amount each year over the next six year. At the end of the sixth year the tree was 1/5 taller than it was at the end of the fourth year. By how many feet did the height of the tree increase.

Year 1 = 4 feet
Y1 end = 4 + k
Y2 end = 4 + 2k
Y3 end = 4 + 3k
Y4 end = 4 + 4k
.
.
Y6 end = 4 + 6k = (4 + 4k)*(6/5)
mutiply both sides by 5
20 + 30k = 24 + 24k
6k = 4
k = 2/3

Total increase in height = 6*2/3 = 4

Where did I do wrong?

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Re: when a certain Tree;Fraction problem [#permalink]

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New post 18 Aug 2008, 08:50
Is it asking the total increase in height
- for 6 years?
- or for each year?

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Re: when a certain Tree;Fraction problem [#permalink]

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New post 18 Aug 2008, 09:27
hi, i edited it it should be each year.Thanks

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Re: when a certain Tree;Fraction problem [#permalink]

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New post 18 Aug 2008, 12:41
Ginc wrote:
When a certain tree was first planted it was 4 feet tall and the height increased by a constant amount each year over the next six year. At the end of the sixth year the tree was 1/5 taller than it was at the end of the fourth year. By how many feet did the height of the tree increase each year?

a) 3/10
b)2/5
c) 1/2
d) 2/3
e)6/5

The answer is d--
Please highlight above for the answer.
can someone please give me a detailed explanation/solution for this problem . Many Thanks


Height at end of 6 years = height at end of four years + height grown between 4th and 6 th years.
let x be growth per year

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

=> 2x= 4/5 + 4/5 *x

=> x =2/3

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Re: when a certain Tree;Fraction problem   [#permalink] 18 Aug 2008, 12:41
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When a certain tree was first planted it was 4 feet tall and

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