A spring is 25 cm long when stretched. The spring was stretched by 18% of its original length. Determine the original length.
25 / 1.18 = 21.18644
Where do you get the 1.18 from. Confused a little.
The spring stretched 118% of its original length.
1.18x = 25
x = 25/1.18
Thank you very much.
You're very welcome.
let unknown be x
18x/100=25
x=(25*100)18
x=138.89
To determine the original length of the spring, we can use the concept of percentage.
Let's first calculate how much the spring length was stretched by 18% of its original length.
18% of the original length = 18/100 * original length.
Now we can set up an equation to find the original length:
original length + 18/100 * original length = stretched length.
Let's substitute the given values into the equation:
original length + 18/100 * original length = 25 cm.
Next, we can simplify the equation by finding the common denominator:
original length + 0.18 * original length = 25.
Now, we can combine the terms on the left-hand side of the equation:
1 * original length + 0.18 * original length = 25.
Simplifying further:
1.18 * original length = 25.
Finally, divide both sides of the equation by 1.18 to solve for the original length:
original length = 25 / 1.18.
Calculating the division:
original length ≈ 21.19 cm.
Therefore, the original length of the spring is approximately 21.19 cm.