a piece of wire is 570 cm long it is cut into 2 pieces one piece is 5 times long as the other piece find the length of other length piece

Let the length of the shorter piece be \( x \). 

The other piece is 5 times as long as the shorter piece, so its length is \( 5x \).

The total length of the wire is the sum of the two pieces, which gives the equation:

\[
x + 5x = 570
\]

Simplifying the equation:

\[
6x = 570
\]

Now, solve for \( x \):

\[
x = \frac{570}{6} = 95
\]

Thus, the length of the shorter piece is \( 95 \) cm, and the longer piece is:

\[
5x = 5 \times 95 = 475 \text{ cm}
\]

So, the two pieces are 95 cm and 475 cm long.

Would you like more details or explanations on this?

Here are 5 related questions:
1. How do you set up equations to solve word problems involving ratios?
2. How can you check if your solution to a word problem is correct?
3. What would happen if the wire length was different but the ratio remained the same?
4. Can we generalize a method for any similar ratio problem?
5. How would you solve if one piece was a certain fixed length more than the other?

**Tip:** Always double-check your equation setup with word problems to make sure it reflects the given conditions accurately!

A piece of wire is 570 cm long. It is cut into 2 pieces. One piece is 5 times as long as the other piece. Find the length of the shorter piece.

Learn how to solve a word problem where a 570 cm wire is cut into two pieces, with one piece being 5 times longer than the other. This solution explains step-by-step how to set up and solve the equation. Suitable for students in Grades 6-8.

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