To solve the equation \(0.25(4f - 3) = 0.05(10f - 9)\), let's go through it step-by-step.

### Step 1: Distribute the coefficients

First, distribute \(0.25\) and \(0.05\) across the terms inside their respective parentheses:

\[
0.25 \times 4f - 0.25 \times 3 = 0.05 \times 10f - 0.05 \times 9
\]

Calculating these, we get:

\[
1f - 0.75 = 0.5f - 0.45
\]

or, simplifying further:

\[
f - 0.75 = 0.5f - 0.45
\]

### Step 2: Isolate the variable \(f\)

Next, let's isolate \(f\) on one side of the equation. Subtract \(0.5f\) from both sides:

\[
f - 0.5f - 0.75 = -0.45
\]

This simplifies to:

\[
0.5f - 0.75 = -0.45
\]

### Step 3: Solve for \(f\)

Now, add \(0.75\) to both sides to isolate \(0.5f\):

\[
0.5f = 0.3
\]

Then

Learn how to solve the equation 0.25(4f - 3) = 0.05(10f - 9) with a detailed step-by-step solution. This problem involves equations and the distributive property. 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