A friend asked me to answer this question: What is the full name of the person that bought an expensive trip to Europe?, using the article: Superstitious New York gambler Joe Baldwin, owner of the thoroughbred racing horse Sarcasm, believes that luck can be bought with charitable deeds.  Before the Kentucky Derby, to "buy luck," he finances an expensive trip to Europe for gold-digger Jean Jason, his "good luck charm," not knowing she is taking her lover with her, gigolo and sometime artist Paul Vinette. He also gives his old friend Frank Brent cash to save his cab business and visits an orphanage in Louisville with his sister, where he meets Betty McKay, a pretty teacher who scoffs at his philosophy.
She scolds him for wishing for rain on the day of the Derby to aid his horse, who runs best on a muddy track, because the orphans plan an outdoor party. Although it rains as wished, Sarcasm loses the Derby, and Joe is convinced that it was because the orphans were pulling against him. In an attempt to repair the damage before the Preakness, Joe throws the orphans a lavish party, hiring clowns and other entertainment. To Betty's surprise, Joe is as excited as the children, and they fall in love.
After Sarcasm wins the Preakness, Joe returns to New York, where Jean is back from Europe. Joe tells her that he will not be seeing her any more because he is going to marry Betty, and she cajoles $50,000 from him as a final "luck insurance" payment. Before Joe shows up with the check, however, Paul arrives at Jean's apartment. They argue when he sees that she plans to run out on him with the money.  Jean threatens him with a gun, and during a scuffle, kills her., what would be the answer ?
In the article, Joe Baldwin is mentioned as a New York gambler who owns Sarcasm, which had won Preakness. 
I think that "Joe Baldwin" would be the best answer to this question.
John Smith buys 3 cakes for $12 each and splits the cost with his brother.  How much did he pay?
The cakes cost 3*12=$<<3*12=36>>36
So he paid 36/2=$<<36/2=18>>18
#### 18
You are an expert at transforming general questions into domain-specific, math-related questions. Your task is to generate only the transformed math question without including any answers or solutions.

### Step-by-Step Instructions
#### Step 1: Analyze and Understand the General Question
   - Objective: Fully understand the general question to grasp its context, key concepts, and quantitative elements.
   - Guidelines:
     - Identify the core topic (e.g., measurement, comparison, probability) and **specific details** that can inspire mathematical transformations.
     - Consider how the question’s **structure and format** might be adapted to a mathematical context. For example, if the question compares quantities or discusses measurements, consider framing these as math problems involving calculations, rates, or proportions.

#### Step 2: Refer to the Domain-Specific Question (for Inspiration Only)
   - Objective: Use the domain-specific question to understand how similar questions are formulated in a mathematical way.
   - Guidelines:
     - Extract Core Concepts: Identify the main mathematical ideas in the domain-specific question and consider how these concepts can apply to the general question.
     - Focus on Transformation, Not Duplication: Use the structure of the domain-specific question as a guide but create a unique question aligned with the general question’s theme.
     - Frame questions to encourage mathematical reasoning, such as using multi-step calculations, logical problem-solving, or real-world applications.

#### Step 3: Generate the Transformed Math Question
   - Objective: Create an original math question that retains the context and theme of the general question pair.
   - Guidelines:
     - Preserve Original Context: Integrate elements from the general question (e.g., scenario, characters, or objects) into the math question to make it cohesive and relevant.
     - Introduce a Mathematical Challenge: Frame the question to require mathematical thinking, such as:
       - Calculations (e.g., “Calculate the time needed if…”)
       - Comparative reasoning (e.g., “Determine which option has a higher value if…”)
       - Probability or logic-based reasoning (e.g., “What are the chances of selecting a specific item if…”)
     - Avoid Including Solutions: Ensure the output contains only the transformed math question without any answers or calculations.

### Response Rule
- Generate **only the "Transformed Domain Question"** for **Example 4** without including any answer, explanation, or solution.

### Output Format
- **Transformed Domain Question**: [Write your transformed question here.]

### Example 1:
- **General Question**: Given the sentence "A man with a beard playing an instrument," is it true that "The person has a beard"?
- **Domain Question**: What is the total cost of purchasing equipment for all sixteen players on the football team, considering that each player requires a $25 jersey, a $15.20 pair of shorts, and a pair of socks priced at $6.80?
- **Transformed Domain Question**: In a concert audience of 1,000 people, where 45% of attendees are male and 30% of the males have beards, what is the probability of randomly selecting a bearded man from the crowd?

### Example 2:
- **General Question**: Acids have pH values below 7. The lower the pH value, the more strongly acidic the substance. Having read the above passage, choose the right answer to the following question (choices are higher or lower): You can find tables that show the pH value of different fruits and vegetables. The fruits such as apples are barely acidic so they have a pH value that is higher or lower?
- **Domain Question**: If Williams has a certain amount of money, Jackson has 5 times that amount. If they have a total of $150 together, how much money does Jackson have in dollars?
- **Transformed Domain Question**: In a study of soil pH levels across various agricultural zones, it's noted that some zones are more acidic due to the types of crops grown there. If Zone A has an average soil pH of 5.7 and is noted for its apple orchards, which are known for requiring slightly acidic soil, calculate the comparative pH difference percentage between Zone A and Zone B, where Zone B has a soil pH of 6.8, suitable for less acidic crop requirements.

### Example 3:
- **General Question**: Detailed Instructions: In this task, you are given a sentence in the Hindi language and your task is to convert it into the English language. In translation, keep numbers as it is and make it sentence case (capitalize only the first word of each sentence and noun).
- **Domain Question**: Mary and Ann are going sledding. Mary slides down a hill that's 630 feet long at a speed of 90 feet/minute. Ann slides down a hill that's 800 feet long at a rate of x feet/minute. How much longer does Ann's trip take than Mary? If we know the answer to the above question is 13, what is the value of unknown variable x?
- **Transformed Domain Question**: Given the geopolitical tension in the region described, if the fall of the Ottoman and Russian empires led to the redistribution of their controlled territories among other nations, assume these territories were divided into 10 new countries with varying sizes. The largest new country occupies 30% of the total territory once held by these empires. If the total land previously controlled by the Ottoman and Russian empires was 2,000,000 square kilometers, calculate the area of the largest new country in square kilometers.

### Example 4:
- **General Question**: A friend asked me to answer this question: What is the full name of the person that bought an expensive trip to Europe?, using the article: Superstitious New York gambler Joe Baldwin, owner of the thoroughbred racing horse Sarcasm, believes that luck can be bought with charitable deeds.  Before the Kentucky Derby, to "buy luck," he finances an expensive trip to Europe for gold-digger Jean Jason, his "good luck charm," not knowing she is taking her lover with her, gigolo and sometime artist Paul Vinette. He also gives his old friend Frank Brent cash to save his cab business and visits an orphanage in Louisville with his sister, where he meets Betty McKay, a pretty teacher who scoffs at his philosophy.
She scolds him for wishing for rain on the day of the Derby to aid his horse, who runs best on a muddy track, because the orphans plan an outdoor party. Although it rains as wished, Sarcasm loses the Derby, and Joe is convinced that it was because the orphans were pulling against him. In an attempt to repair the damage before the Preakness, Joe throws the orphans a lavish party, hiring clowns and other entertainment. To Betty's surprise, Joe is as excited as the children, and they fall in love.
After Sarcasm wins the Preakness, Joe returns to New York, where Jean is back from Europe. Joe tells her that he will not be seeing her any more because he is going to marry Betty, and she cajoles $50,000 from him as a final "luck insurance" payment. Before Joe shows up with the check, however, Paul arrives at Jean's apartment. They argue when he sees that she plans to run out on him with the money.  Jean threatens him with a gun, and during a scuffle, kills her., what would be the answer ?
- **Domain Question**: John Smith buys 3 cakes for $12 each and splits the cost with his brother.  How much did he pay?
- **Transformed Domain Question**: 