In a fast-food shop, there are 1800 visitors in a month orders five different snacks namely Burger, Pizza, Fries, Hot dog, and Cake. Out of the female visitors, 24% order burgers, 28% order pizza, 12%order fries, 15% ordered cakes, and the remaining 147 order hotdogs. Out of the total male visitors 14% order burger, 26% order pizza, 28% order fries, 18% order cake, and the remaining 154 order hotdog.
Amng all the orders, In which order the difference between the male vistiros and female vistors is maximum?

Options

A. Fries
B. Burger
C. Hotdog
D. Pizza

Answer

To solve the problem step by step, we will first determine the number of male and female visitors, then calculate the number of orders for each snack, and finally find the snack with the maximum difference in orders between male and female visitors.

### Step 1: Determine the number of male and female visitors
Let the number of male visitors be \( x \). Therefore, the number of female visitors will be \( 1800 - x \).

### Step 2: Set up the equations for male visitors
From the problem, we know that:
- 14% of males order burgers
- 26% of males order pizzas
- 28% of males order fries
- 18% of males order cakes
- The remaining 154 order hot dogs

The equation for male visitors can be set up as follows:
\[ 0.14x + 0.26x + 0.28x + 0.18x + 154 = x \]
Simplifying this, we get:
\[ 0.86x + 154 = x \]
Subtracting \( 0.86x \) from both sides:
\[ 154 = 0.14x \]
Now, solving for \( x \):
\[ x = \frac{154 \times 100}{14} = 1100 \]

### Step 3: Calculate the number of female visitors
Now that we have the number of male visitors:
\[ \text{Number of female visitors} = 1800 - 1100 = 700 \]

### Step 4: Calculate the orders for each snack
#### For Male Visitors:
- **Burgers**: \( 0.14 \times 1100 = 154 \)
- **Pizzas**: \( 0.26 \times 1100 = 286 \)
- **Fries**: \( 0.28 \times 1100 = 308 \)
- **Cakes**: \( 0.18 \times 1100 = 198 \)
- **Hot Dogs**: \( 154 \) (given)

#### For Female Visitors:
- **Burgers**: \( 0.24 \times 700 = 168 \)
- **Pizzas**: \( 0.28 \times 700 = 196 \)
- **Fries**: \( 0.12 \times 700 = 84 \)
- **Cakes**: \( 0.15 \times 700 = 105 \)
- **Hot Dogs**: \( 147 \) (given)

### Step 5: Calculate the differences in orders
Now we will find the difference between the orders of male and female visitors for each snack:
- **Burgers**: \( 168 - 154 = 14 \)
- **Pizzas**: \( 286 - 196 = 90 \)
- **Fries**: \( 308 - 84 = 224 \)
- **Cakes**: \( 198 - 105 = 93 \)
- **Hot Dogs**: \( 154 - 147 = 7 \)

### Step 6: Identify the maximum difference
From the differences calculated:
- Burgers: 14
- Pizzas: 90
- Fries: 224
- Cakes: 93
- Hot Dogs: 7

The maximum difference is **224**, which corresponds to **Fries**.

### Final Answer
The order with the maximum difference between male and female visitors is **Fries**.

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