14.5%of740- ?%of320=87.3

Options

A. 6.75
B. 6.25
C. 12.5
D. 14.75

Answer

To solve the equation \( 14.5\% \text{ of } 740 - ?\% \text{ of } 320 = 87.3 \), we can follow these steps:

### Step 1: Convert percentages to decimals
First, we convert the percentages into decimal form. The percentage \( 14.5\% \) can be expressed as \( \frac{14.5}{100} \).

### Step 2: Calculate \( 14.5\% \text{ of } 740 \)
Now, we calculate \( 14.5\% \text{ of } 740 \):
\[ 14.5\% \text{ of } 740 = \frac{14.5}{100} \times 740 = 0.145 \times 740 = 107.3 \]

### Step 3: Set up the equation
Now we can substitute this value back into the equation:
\[ 107.3 - ?\% \text{ of } 320 = 87.3 \]

### Step 4: Isolate the unknown percentage
Next, we isolate the unknown percentage:
\[ ? \% \text{ of } 320 = 107.3 - 87.3 \]
\[ ? \% \text{ of } 320 = 20 \]

### Step 5: Convert the unknown percentage to decimal
We express \( ?\% \) as \( \frac{?}{100} \):
\[ \frac{?}{100} \times 320 = 20 \]

### Step 6: Solve for the unknown percentage
Now we can solve for \( ? \):
\[ ? = \frac{20 \times 100}{320} \]
\[ ? = \frac{2000}{320} \]
\[ ? = 6.25 \]

### Final Answer
Thus, the value of \( ? \) is \( 6.25 \).

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