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When a certain tree was first planted, it was 4 feet tall, [#permalink]
25 Dec 2007, 06:35

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When a certain tree was first planted, it was 4 feet tall, and the height of the tree invreased 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 did the height of the tree increase each year _________________

Re: PS - Tree height [#permalink]
25 Dec 2007, 06:45

gregspirited wrote:

When a certain tree was first planted, it was 4 feet tall, and the height of the tree invreased 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 did the height of the tree increase each year

Re: PS - Tree height [#permalink]
25 Dec 2007, 13:26

Ravshonbek wrote:

gregspirited wrote:

When a certain tree was first planted, it was 4 feet tall, and the height of the tree invreased 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 did the height of the tree increase each year

simplest method:

planted length: X=4 annual increase: Y

X,(X+Y),(X+2Y),(X+3Y),(X+4Y),(X+5Y),(X+6Y)

X+4Y+(X+4Y)/5=X+6Y X+4Y=10 4+4Y=10 Y=3/2

Yes this is the simplest approach. however final answer should be 2/3 but not 3/2.

Re: PS - Tree height [#permalink]
07 Jan 2008, 11:15

gregspirited wrote:

When a certain tree was first planted, it was 4 feet tall, and the height of the tree invreased 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 did the height of the tree increase each year

Re: PS - Tree height [#permalink]
07 Jan 2008, 11:24

gregspirited wrote:

When a certain tree was first planted, it was 4 feet tall, and the height of the tree invreased 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 did the height of the tree increase each year