SOLUTION: There is a pole in a lake. 1/2 of the pole is in the ground, another 1/3 of it is covered with water, and 10ft is out of water. What is the toal length of the pole in ft?

Question 110131: There is a pole in a lake. 1/2 of the pole is in the ground, another 1/3 of it is covered with water, and 10ft is out of water. What is the toal length of the pole in ft?
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Let x=length of the pole
x/2 is in the ground
x/3 is covered with water
10 ft is out of the water
Soooooo:
x/2+x/3+10=x multiply each term by 6
3x+2x+60=6x or
5x+60=6x subtract 5x from both sides
5x-5x+60=6x-5x collect like terms
60=x or
x=60 ft-------------------------total length of the pole
CK
60/2+60/3+10=60
30+20+10=60
60=60

Hope this helps---ptaylor
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