Simplify:- 80% of 920 ÷ ? = 46

Options

A. a. 32
B. b. 8
C. c. 12
D. d. 16

Answer

To solve the equation \( 80\% \text{ of } 920 \div ? = 46 \), we will follow these steps:

### Step 1: Convert the percentage to a fraction
First, we convert \( 80\% \) to a fraction:
\[ 80\% = \frac{80}{100} = \frac{4}{5} \]

### Step 2: Calculate \( 80\% \text{ of } 920 \)
Next, we calculate \( 80\% \text{ of } 920 \):
\[ 80\% \text{ of } 920 = \frac{4}{5} \times 920 \]
Calculating this gives:
\[ = \frac{4 \times 920}{5} = \frac{3680}{5} = 736 \]

### Step 3: Rewrite the equation
Now we can rewrite the equation using the result from Step 2:
\[ \frac{736}{?} = 46 \]

### Step 4: Cross-multiply to solve for ?
To eliminate the fraction, we can cross-multiply:
\[ 736 = 46 \times ? \]

### Step 5: Solve for ?
Now we isolate \( ? \):
\[ ? = \frac{736}{46} \]
Calculating this gives:
\[ ? = 16 \]

### Final Answer
Thus, the value of \( ? \) is:
\[ ? = 16 \]

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