Math Problem Statement

Jika 3 potong tali sepanjang x cm diperoleh dengan memotong seutas tali yang panjangnya 80 cm terdapat sisa 5 cm.

Solution

The problem in the image reads:

"Jika 3 potong tali sepanjang xx cm diperoleh dengan memotong seutas tali yang panjangnya 80 cm terdapat sisa 5 cm."

This translates to:

"If 3 pieces of string, each of length xx cm, are obtained by cutting a string of length 80 cm, there is a remainder of 5 cm."

Problem Breakdown:

  • The total length of the string is 80 cm.
  • After cutting 3 pieces of length xx, there is 5 cm left as a remainder.

Setting up the Equation:

The total length of the string after cutting 3 pieces and leaving 5 cm should equal 80 cm:

3x+5=803x + 5 = 80

Solving for xx:

3x=8053x = 80 - 5 3x=753x = 75 x=753x = \frac{75}{3} x=25x = 25

Thus, the length of each piece is 25 cm.


Would you like more details or have any questions about the solution?

Here are 5 related questions to expand the topic:

  1. What if there were 4 pieces instead of 3? How would the equation change?
  2. How can you verify the solution by substitution?
  3. How would the equation change if the remainder was 10 cm instead of 5 cm?
  4. What if the total length of the string was 100 cm? How would that affect the result?
  5. How do you calculate the length if no remainder is left after cutting?

Tip: When solving word problems, always define variables and write down the equation carefully to represent the given scenario.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Basic Algebra

Formulas

3x + 5 = 80

Theorems

Basic Equation Solving

Suitable Grade Level

Grades 6-8