SOLUTION: There is a pole in a lake. One half of the pole is in the ground, another one third of it is covered with water, and 10ft is out of water. What is the total length of the pole in f

Question 110465: There is a pole in a lake. One half of the pole is in the ground, another one third of it is covered with water, and 10ft is out of water. What is the total length of the pole in ft?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let x=length of pole in feet

So we know that half () of (which means "multiply") the pole (x) is in the ground. So would be the expression for the length of the pole in the ground.

We also know that a third of the pole is underwater. So would be the expression for the length of the pole underwater.

Finally we know that 10 ft is above water. Now simply add all of the pieces of the pole to get the total length x

this says that the sum of the parts equals the entire length of the pole

Multiply both sides by the LCD 6 to remove the fractions

Distribute and multiply

Combine like terms

Subtract 5x from both sides

Combine like terms

So the length of the pole is 60 ft

Notice if we take half of 60, we get 30; if we take a third of 60, we get 20. Now add 30, 20 and 10 to get

So this verifies our answer.
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