To solve the equation \( 1200 = (200 + a) \times 0.15 \), we can follow these steps:

### Step 1: Simplify the equation
Start by dividing both sides by 0.15 to isolate \( 200 + a \):

\[
\frac{1200}{0.15} = 200 + a
\]

### Step 2: Calculate the division
\[
1200 \div 0.15 = 8000
\]

So the equation becomes:
\[
8000 = 200 + a
\]

### Step 3: Solve for \( a \)
Subtract 200 from both sides:

\[
a = 8000 - 200
\]

\[
a = 7800
\]

Thus, the value of \( a \) is \( 7800 \).

Would you like any further details or explanations?

Here are 5 related questions:
1. How would you solve if the multiplier were different, say \(0.2\)?
2. Can you solve for \( a \) if the equation were set up differently, like \(1200 = (a - 200) \times 0.15\)?
3. How does dividing by a decimal affect the equation compared to multiplying by it?
4. What happens if you change \( 200 \) to a variable \( b \) and solve for \( b \)?
5. How would you interpret this equation in terms of real-world application?

**Tip:** When solving equations involving decimals, multiplying both sides by 10 or 100 can simplify calculations.

Explore how to solve the linear equation 1200 = (200 + a) × 0.15 with step-by-step instructions. This algebraic problem involves isolating variables and simplifying decimal multiplications, ideal for students in Grades 6-8.

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