SOLUTION: The total height of a builing and the flagpole on the roof is 290feet. The building is 9 times as high as the flagpole. How high is the flagpole?

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Question 103838: The total height of a builing and the flagpole on the roof is 290feet. The building is 9 times as high as the flagpole. How high is the flagpole?
Answer by MathLover1(20850) About Me  (Show Source):
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Let the total height of a building and the flagpole on the roof be A, the height of building x, and the height of flagpole y.
given:
A+=+290ft
The building is 9 times as high as the flagpole.
then
A+=+x+%2B+y
since x+=+9y
290ft++=+9y+%2B+y
290ft++=+10y
y+=+29ft
now check:
x+=+9%2A29
x+=+261ft andy+=+29ft, so
A+=+261ft+%2B+29ft
A+=+290ft