Let's break down the equation and solve it step by step.

The given equation is:

$x = \left[\left(115.0\% \times 3.50\right) - \left(\frac{0.35}{94.9\%}\right) - \left(\frac{3.25}{94.9\% \times 98\%}\right)\right] \times 50\%$

Step 1: Convert percentages to decimals

• 115.0% = 1.15
• 94.9% = 0.949
• 98% = 0.98
• 50% = 0.50

So, the equation becomes:

$x = \left[\left(1.15 \times 3.50\right) - \left(\frac{0.35}{0.949}\right) - \left(\frac{3.25}{0.949 \times 0.98}\right)\right] \times 0.50$

Step 2: Perform the multiplications and divisions

• $1.15 \times 3.50 = 4.025$
• $\frac{0.35}{0.949} \approx 0.369$
• $\frac{3.25}{0.949 \times 0.98} = \frac{3.25}{0.93002} \approx 3.495$

Now, the equation becomes:

$x = \left[4.025 - 0.369 - 3.495\right] \times 0.50$

Step 3: Simplify inside the brackets

$4.025 - 0.369 - 3.495 = 0.161$

Step 4: Multiply by 50%

$x = 0.161 \times 0.50 = 0.0805$

Final Answer:

$x \approx 0.0805$

Let me know if you need any further explanations!

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Here are 5 related questions you might find useful:

1. How do you handle percentage calculations in equations?
2. What is the importance of converting percentages into decimals before performing operations?
3. Can this type of equation be applied in real-world scenarios, such as financial calculations?
4. How do you deal with multiple percentages in a single equation?
5. What are some strategies to simplify complex mathematical expressions involving percentages?

Tip: Always double-check your conversions when dealing with percentages in equations—mistakes in converting to decimals are a common source of errors!