Question

There is a pole in a lake. half of the pole is embedded in the mud at the bottom of the pond, another one third is covered by water, and 7 feet is out of the water. what is the total length of the pole?

Answer 1

Answer: The total length of the pole is 42 feet.

Step-by-step explanation:

Since we have given that

Let the total length of the pole be 'x'.

Half of the pole is embedded in the mud at the bottom of the pond = $\frac{x}{2}$

One third is covered by water = $\frac{x}{3}$

Length of pole is out of the water = 7 feet

So, our required equation will be

$\frac{x}{2}+\frac{x}{3}+7=x\\\\\frac{2x+3x}{6}+7=x\\\\\frac{5x}{6}+7=x\\\\7=x-\frac{5x}{6}\\\\7=\frac{x}{6}\\\\x=42\ feet$

Hence, the total length of the pole is 42 feet.