Question

I have a math word problem that is killing me. A pole is painted red, blue and green. 1/3 is painted red. 1/2 is painted blue. 4 feet is painted green. What is the height of the pole.

Answer 1

So, we write this out as:
\[
4=\left(1-\frac{1}{3}-\frac{1}{2}\right)P=\frac{P}{6}
\]So, therefore, \(\frac{1}{6}\) of the pole is green, so, by this:
\[
4\cdot6=P=24
\]So the pole is 24 ft.

Answer 2

1/3 is red, 1/2 is blue, remainder (three feet) is green. The part that isn't painted green = red + blue
= 1/3 + 1/2
= 2/6 + 3/6
= 5/6
So part that is painted green = 1 - 5/6
= 1/6
And 1/6 = 3 feet,
so 6/6 = 18 feet
1 = 18 feet.

So length of pole is 18 feet.

Answer 3

Instead of 3, it would be 4, but good explanation.

Answer 4

Thank both of you this was a lesson learned...LolWolf thanks for showing me the formula