Amina And Brody's Bonus Spending Spree How Much More Did Amina Spend

In this article, we will explore a mathematical problem involving Amina and Brody, who each received a bonus from their work. Amina and Brody each receive a $£600$ bonus from their work. Amina spends $8\%$ of her bonus, while Brody spends $\frac{1}{20}$ of his bonus. Our goal is to determine how much more Amina spends than Brody. This problem involves calculating percentages and fractions, and then finding the difference between the two amounts. Let's dive into the solution step by step.

Understanding the Problem: Amina and Brody's Spending Habits

To effectively address the question of how much more Amina spends than Brody, we first need to calculate the individual amounts they spent. This involves understanding the concepts of percentages and fractions and how they apply to a given amount, in this case, their $£600$ bonus. Amina's spending is defined as 8% of her bonus, while Brody's spending is defined as 1/20 of his bonus. We will break down each calculation separately to ensure clarity and accuracy. Understanding these individual spending amounts is crucial before we can compare them and find the difference.

Calculating Amina's Spending

To determine how much Amina spent, we need to calculate 8% of her $£600$ bonus. Percentages represent a proportion out of 100, so 8% can be expressed as $\frac{8}{100}$. To find 8% of $£600$, we multiply the bonus amount by this fraction: $£600 \times \frac{8}{100}$. This calculation will give us the exact amount Amina spent from her bonus. Calculating percentages accurately is a fundamental skill in many real-life scenarios, including financial calculations like this one. Now, let's perform the calculation to find the precise amount.

$£600 \times \frac{8}{100} = £48$

Therefore, Amina spent $£48$ of her bonus.

Calculating Brody's Spending

Next, we need to calculate how much Brody spent. Brody spent $\frac{1}{20}$ of his $£600$ bonus. To find this amount, we multiply the bonus amount by the fraction: $£600 \times \frac{1}{20}$. This calculation will reveal the exact amount Brody spent. Working with fractions is another essential mathematical skill, and this problem provides a practical application of this skill. Let's proceed with the calculation.

$£600 \times \frac{1}{20} = £30$

Thus, Brody spent $£30$ of his bonus.

Comparing Spending Amounts: Finding the Difference

Now that we know how much Amina and Brody each spent, we can determine how much more Amina spent than Brody. Amina spent $£48$, and Brody spent $£30$. To find the difference, we subtract Brody's spending from Amina's spending: $£48 - £30$. This subtraction will give us the exact amount by which Amina's spending exceeded Brody's. Comparing quantities and finding differences are common mathematical tasks with various practical applications. Now, let's calculate the difference.

$£48 - £30 = £18$

Therefore, Amina spent $£18$ more than Brody.

Conclusion: Amina's Higher Spending

In conclusion, we have successfully determined that Amina spent $£18$ more than Brody. We arrived at this answer by first calculating the individual spending amounts of Amina and Brody based on the percentages and fractions provided. Amina spent 8% of her $£600$ bonus, which amounted to $£48$, while Brody spent $\frac{1}{20}$ of his $£600$ bonus, which amounted to $£30$. By subtracting Brody's spending from Amina's spending, we found the difference to be $£18$. This problem demonstrates the practical application of mathematical concepts such as percentages, fractions, and subtraction in everyday scenarios. Understanding these concepts is crucial for making informed financial decisions and solving similar problems in the future. This exercise highlights the importance of careful calculation and attention to detail in mathematical problem-solving.

Practice Problems

To further solidify your understanding, try solving these similar problems:

1. Sarah receives a $£800$ bonus and spends 12% of it. John receives the same bonus and spends $\frac{1}{16}$ of it. How much more does Sarah spend than John?
2. Emily has a $£500$ gift card and uses 25% of it on Monday and another 10% on Tuesday. How much money is left on her gift card?
3. David earns $£1200$ and saves 15% of his earnings. His friend earns the same amount but saves $\frac{1}{8}$ of his earnings. Who saves more, and by how much?

Final Thoughts

Mathematical problems like this one involving Amina and Brody not only test our computational skills but also enhance our ability to apply mathematical concepts to real-life situations. The ability to work with percentages and fractions is invaluable in various contexts, from managing personal finances to making informed decisions in business and beyond. By breaking down the problem into smaller, manageable steps, we can confidently solve complex questions and gain a deeper appreciation for the practical applications of mathematics. This exercise serves as a reminder that mathematics is not just an abstract subject but a powerful tool that can help us navigate the world around us more effectively. Keep practicing and exploring the many ways mathematics can be applied to solve problems and make better decisions.