Maya, Eve, And Abdul Split A Dinner Bill.- Maya Pays 45% Of The Bill.- Eve Pays A Portion Of The Bill.- Abdul Pays The Remainder Of The Bill.Part A:Maya Thinks The Amount Eve Pays Is Equivalent To 25% Of What Maya Pays. Is Maya Correct? Justify Your
Introduction
In this article, we will delve into a real-life scenario where three individuals, Maya, Eve, and Abdul, split a dinner bill. Maya pays 45% of the bill, while Eve pays a portion of the bill, and Abdul pays the remainder. We will analyze the situation and determine whether Maya's assumption about Eve's payment is correct.
Part A: Maya's Assumption
Maya thinks that the amount Eve pays is equivalent to 25% of what Maya pays. To justify this assumption, we need to calculate the percentage of the bill that Eve pays.
Let's assume that the total bill is $100. Maya pays 45% of the bill, which is $45. Since Maya thinks that Eve pays 25% of what Maya pays, we can calculate Eve's payment as follows:
Eve's payment = 25% of Maya's payment = 25% of $45 = 0.25 x $45 = $11.25
However, this is not the actual amount that Eve pays. We need to find the percentage of the bill that Eve pays.
Let x be the percentage of the bill that Eve pays. Then, the percentage of the bill that Abdul pays is 100% - 45% - x = 55% - x.
Since the total bill is $100, we can set up the following equation:
Maya's payment + Eve's payment + Abdul's payment = Total bill $45 + $11.25x + $55 - $11.25x = $100
Simplifying the equation, we get:
$45 + $55 = $100
This equation is true for any value of x. However, we need to find the value of x that satisfies the condition that Eve pays 25% of what Maya pays.
Let's re-examine the equation:
Eve's payment = 25% of Maya's payment = 25% of $45 = $11.25
Since Eve's payment is $11.25, we can set up the following equation:
x% of $100 = $11.25
Solving for x, we get:
x = ($11.25 ÷ $100) x 100 = 11.25%
Therefore, Eve pays 11.25% of the bill, not 25% of what Maya pays.
Conclusion
In conclusion, Maya's assumption that Eve pays 25% of what Maya pays is incorrect. Eve actually pays 11.25% of the bill. This analysis highlights the importance of accurately calculating percentages and understanding the relationships between different variables in a mathematical problem.
Part B: Calculating Eve's Payment
In the previous section, we calculated Eve's payment as 11.25% of the bill. However, we can also calculate Eve's payment using a different approach.
Let's assume that the total bill is $100. Maya pays 45% of the bill, which is $45. Abdul pays the remainder of the bill, which is 55% - 45% = 10% of the bill.
Since Abdul pays 10% of the bill, we can calculate Eve's payment as follows:
Eve's payment = Total bill - Maya's payment - Abdul's payment = $100 - $45 - $10 = $45
However, this is not the correct answer. We need to find the percentage of the bill that Eve pays.
Let x be the percentage of the bill that Eve pays. Then, the percentage of the bill that Abdul pays is 100% - 45% - x = 55% - x.
Since the total bill is $100, we can set up the following equation:
Maya's payment + Eve's payment + Abdul's payment = Total bill $45 + $11.25x + $55 - $11.25x = $100
Simplifying the equation, we get:
$45 + $55 = $100
This equation is true for any value of x. However, we need to find the value of x that satisfies the condition that Eve pays a certain percentage of the bill.
Let's re-examine the equation:
Eve's payment = Total bill - Maya's payment - Abdul's payment = $100 - $45 - $10 = $45
Since Eve's payment is $45, we can set up the following equation:
x% of $100 = $45
Solving for x, we get:
x = ($45 ÷ $100) x 100 = 45%
Therefore, Eve pays 45% of the bill.
Conclusion
In conclusion, we have calculated Eve's payment using two different approaches. In the first approach, we calculated Eve's payment as 11.25% of the bill. In the second approach, we calculated Eve's payment as 45% of the bill. However, the correct answer is 11.25%.
Part C: Calculating Abdul's Payment
In the previous sections, we calculated Maya's payment and Eve's payment. However, we have not calculated Abdul's payment.
Let's assume that the total bill is $100. Maya pays 45% of the bill, which is $45. Eve pays 11.25% of the bill, which is $11.25.
Since the total bill is $100, we can calculate Abdul's payment as follows:
Abdul's payment = Total bill - Maya's payment - Eve's payment = $100 - $45 - $11.25 = $43.75
Therefore, Abdul pays $43.75, which is 43.75% of the bill.
Conclusion
In conclusion, we have calculated Maya's payment, Eve's payment, and Abdul's payment. Maya pays 45% of the bill, Eve pays 11.25% of the bill, and Abdul pays 43.75% of the bill.
Part D: Conclusion
Introduction
In our previous article, we analyzed a real-life scenario where three individuals, Maya, Eve, and Abdul, split a dinner bill. We calculated Maya's payment, Eve's payment, and Abdul's payment using different approaches. In this article, we will answer some frequently asked questions related to the scenario.
Q&A
Q: What percentage of the bill does Maya pay?
A: Maya pays 45% of the bill.
Q: What percentage of the bill does Eve pay?
A: Eve pays 11.25% of the bill.
Q: What percentage of the bill does Abdul pay?
A: Abdul pays 43.75% of the bill.
Q: Is Maya's assumption that Eve pays 25% of what Maya pays correct?
A: No, Maya's assumption is incorrect. Eve pays 11.25% of the bill, not 25% of what Maya pays.
Q: How can we calculate Eve's payment using a different approach?
A: We can calculate Eve's payment by subtracting Maya's payment and Abdul's payment from the total bill. Eve's payment = Total bill - Maya's payment - Abdul's payment.
Q: What is the total amount of the bill?
A: The total amount of the bill is $100.
Q: How can we calculate Abdul's payment?
A: We can calculate Abdul's payment by subtracting Maya's payment and Eve's payment from the total bill. Abdul's payment = Total bill - Maya's payment - Eve's payment.
Q: What is the relationship between Maya's payment, Eve's payment, and Abdul's payment?
A: Maya's payment, Eve's payment, and Abdul's payment are related in the following way: Maya's payment + Eve's payment + Abdul's payment = Total bill.
Q: Can we calculate Eve's payment using a formula?
A: Yes, we can calculate Eve's payment using the following formula: Eve's payment = (Total bill - Maya's payment) x (Eve's percentage / 100).
Q: What is the formula for calculating Abdul's payment?
A: The formula for calculating Abdul's payment is: Abdul's payment = (Total bill - Maya's payment - Eve's payment) x (Abdul's percentage / 100).
Conclusion
In this article, we have answered some frequently asked questions related to the scenario where three individuals, Maya, Eve, and Abdul, split a dinner bill. We have calculated Maya's payment, Eve's payment, and Abdul's payment using different approaches and have provided formulas for calculating Eve's payment and Abdul's payment.
Additional Resources
For more information on calculating percentages and solving mathematical problems, please refer to the following resources:
Disclaimer
The information provided in this article is for educational purposes only and is not intended to be used as a substitute for professional advice. If you have any questions or concerns about mathematical problems or formulas, please consult a qualified math professional.