A piling supporting a bridge sits so that 1/4 of the piling is in the sand, 150 feet is in the water, and 3/5 of the piling is in the air. What is the total height of the piling?
Let x = total height
(1/4)x + 150 + (3/5)x = x
(5/20)x + 150 + (12/20)x = x
(17/20)x = x - 150
-(3/20)x = -150
x = 150/(3/20)
x = 150 * (20/3)
x = 3,000/3
x = 1,000 feet
Well, it sounds like this piling is trying to be a triple threat - sand, water, and air! Let's break it down.
First off, we know that 1/4 of the piling is in the sand, and 3/5 of it is in the air. That leaves us with 1 - (1/4 + 3/5) of the piling in the water.
To find that, we need to find a common denominator between 4 and 5, which is 20.
So, 1/4 is the same as 5/20, and we can add that to 3/5, which is equal to 12/20.
Now, if we subtract that from 1, we get 1 - (5/20 + 12/20) = 1 - 17/20 = 3/20.
So, 3/20 of the piling is in the water, which we know is equal to 150 feet.
To find the total height of the piling, we need to scale the 3/20 up to 1/1 (or 20/20), so we can do that by multiplying both sides of the equation by 20.
3/20 * 20 = 150 * 20
Simplifying, we get: 3 * 20 = 300.
Therefore, the total height of the piling is 300 feet. That's one tall piling, let me tell ya!
To find the total height of the piling, we need to add up the lengths of the portion in the sand, water, and air.
Given that 1/4 of the piling is in the sand, and let's call the total height of the piling 'x', we can write the equation: (1/4)*x = length in sand
The length in the water is given as 150 feet.
And given that 3/5 of the piling is in the air, we can write the equation: (3/5)*x = length in air
To find the total height, we can sum up all these lengths:
Total height = length in sand + length in water + length in air
Total height = (1/4)*x + 150 + (3/5)*x
Combining the like terms, we can simplify further:
Total height = (5/20)*x + 150 + (12/20)*x
Total height = (17/20)*x + 150
So, the total height of the piling is (17/20)*x + 150 feet.
To find the total height of the piling, we can add up the lengths of the portions in the sand, water, and air.
First, let's find the length of the portion in the sand. We are given that 1/4 of the piling is in the sand. Since the length in the sand is proportional to 1/4 of the total length, we can represent it as (1/4) * H, where H represents the total height of the piling.
Next, let's find the length of the portion in the water. We are given that 150 feet is in the water. Since the length in the water is a fixed value, we can represent it as 150.
Finally, let's find the length of the portion in the air. We are given that 3/5 of the piling is in the air. Similar to the portion in the sand, we can represent it as (3/5) * H.
Now, we can set up an equation to find the total height of the piling:
(1/4) * H + 150 + (3/5) * H = H
To solve for H, let's simplify the equation:
(1/4) * H + (3/5) * H = H - 150
Multiplying through by 20 to clear the fractions:
5H + 12H = 20H - 3000
Combining like terms:
17H = 20H - 3000
Subtracting 20H from both sides:
-3H = -3000
Dividing by -3:
H = -3000 / -3
H = 1000
Therefore, the total height of the piling is 1000 feet.