If 5% of the total number of cars sold of model E is 750, then what is the average number of cars sold of all the models?

Options

A. 15000
B. 14400
C. 16800
D. 14000

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Find the total number of cars sold of model E.
We know that 5% of the total number of cars sold of model E is 750. We can set up the equation as follows:

\[ 0.05 \times \text{Total Cars Sold of Model E} = 750 \]

Let \( P \) be the total number of cars sold of model E.

\[ 0.05P = 750 \]

### Step 2: Solve for \( P \).
To find \( P \), we can rearrange the equation:

\[ P = \frac{750}{0.05} \]

Calculating this gives:

\[ P = 750 \times 20 = 15,000 \]

So, the total number of cars sold of model E is 15,000.

### Step 3: Determine the value of 1 degree in the pie chart.
From the problem, we know that model E corresponds to 75 degrees in the pie chart. We can find the number of cars represented by 1 degree:

\[ \text{Value of 1 degree} = \frac{\text{Total Cars Sold of Model E}}{\text{Degrees for Model E}} = \frac{15,000}{75} \]

Calculating this gives:

\[ \text{Value of 1 degree} = 200 \]

### Step 4: Calculate the total number of cars sold for all models.
The total degrees in a pie chart is 360 degrees. Therefore, the total number of cars sold for all models can be calculated as follows:

\[ \text{Total Cars Sold} = \text{Value of 1 degree} \times 360 = 200 \times 360 \]

Calculating this gives:

\[ \text{Total Cars Sold} = 72,000 \]

### Step 5: Find the average number of cars sold of all models.
To find the average number of cars sold across all models, we divide the total number of cars sold by the number of models (which is 5):

\[ \text{Average} = \frac{\text{Total Cars Sold}}{\text{Number of Models}} = \frac{72,000}{5} \]

Calculating this gives:

\[ \text{Average} = 14,400 \]

### Final Answer:
The average number of cars sold of all models is **14,400**.

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