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.
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.
let unknown be x
18x/100=25
x=(25*100)18
x=138.89