$$ \frac{55}{500}\cdot560-\frac{25}{100}\cdot x=229.6 $$

Let's solve the equation step by step:

Given:
\[
\frac{55}{500} \cdot 560 - \frac{25}{100} \cdot x = 229.6
\]

1. **Simplify the fractions:**
   \[
   \frac{55}{500} = \frac{11}{100} \quad \text{and} \quad \frac{25}{100} = \frac{1}{4}
   \]
   So the equation becomes:
   \[
   \frac{11}{100} \cdot 560 - \frac{1}{4} \cdot x = 229.6
   \]

2. **Calculate the multiplication:**
   \[
   \frac{11}{100} \cdot 560 = \frac{6160}{100} = 61.6
   \]
   So the equation simplifies to:
   \[
   61.6 - \frac{1}{4} \cdot x = 229.6
   \]

3. **Isolate the term with $ x $:**
   \[
   -\frac{1}{4} \cdot x = 229.6 - 61.6 = 168
   \]

4. **Solve for $ x $:**
   Multiply both sides by -4 to get $ x $ alone:
   \[
   x = 168 \cdot -4 = -672
   \]

The solution is:
\[
x = -672
\]

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

### Related Questions:
1. How do you simplify complex fractions?
2. What are the steps to isolate a variable in an equation?
3. How do you solve equations involving decimals?
4. What are the common methods for checking the solution of an equation?
5. How do you multiply fractions and decimals?
6. Can you explain how to handle negative signs in equations?
7. What is the significance of solving equations step by step?
8. How does one convert fractions to decimals quickly?

**Tip:** Always double-check your calculations by substituting the solution back into the original equation.

Learn how to solve the equation involving fractions and decimals with a detailed step-by-step solution. This problem covers key algebraic concepts, including fractions, decimals, and equations. Suitable for high school students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation