What is the length of a spring increased by 8% it becomes 351mm long, what is the original length 

Let the original length of the spring be \( L \) mm.

When the length of the spring is increased by 8%, the new length becomes:

\[
L + 0.08L = 1.08L
\]

We are given that the new length is 351 mm. So, we set up the equation:

\[
1.08L = 351
\]

To find the original length \( L \), we solve for \( L \) by dividing both sides of the equation by 1.08:

\[
L = \frac{351}{1.08}
\]

Let's calculate this.

\[
L = 325 \, \text{mm}
\]

So, the original length of the spring was **325 mm**.

Would you like to see more details or have any questions?

Here are some related questions you might find interesting:
1. What would the new length be if the spring were increased by 15% instead?
2. If the original length was 400 mm, what would be the new length after a 8% increase?
3. How would you calculate the percentage increase if you know the original and new lengths?
4. What is the formula to determine the original length given the increased length and percentage increase?
5. How would a decrease in length by 8% affect the original length calculation?

**Tip:** When dealing with percentage increases or decreases, always use the formula \( \text{new length} = \text{original length} \times (1 \pm \text{percentage change}) \).

What is the length of a spring increased by 8% it becomes 351mm long, what is the original length?

Find out how to determine the original length of a spring when its length is increased by 8% to become 351mm. This problem focuses on key mathematical concepts such as percentage increase and solving linear equations, making it suitable for students in Grades 6-8.

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