Question
Fill in the missing number, 4 \( 8 \% / \mathrm{of} \) \( \square \) \( =16 \) submit
Ask by Potter Sullivan. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The missing number is 50.
Solution
To solve the equation:
\[ 4 \times 8\% \, \text{of} \, \square = 16 \]
Let's break it down step by step:
1. **Understand the Equation:**
- "8% of \( \square \)" can be written mathematically as \( 0.08 \times x \), where \( x \) is the missing number.
- The equation becomes:
\[
4 \times (0.08 \times x) = 16
\]
2. **Simplify the Equation:**
\[
4 \times 0.08 \times x = 16
\]
\[
0.32x = 16
\]
3. **Solve for \( x \):**
\[
x = \frac{16}{0.32} = 50
\]
**Therefore, the missing number is **50**.**
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Simplify this solution Bonus Knowledge
To find the missing number represented by the square, we start by rewriting the equation: \( 4 \times (8\% \, \text{of} \, \square) = 16 \). First, let's convert 8% to a decimal: \( 8\% = 0.08 \). Now we can rewrite the equation: \( 4 \times (0.08 \times \square) = 16 \). Dividing both sides by 4 gives us: \( 0.08 \times \square = 4 \). Now, divide both sides by 0.08: \( \square = \frac{4}{0.08} = 50 \). So, the missing number is 50!
