Calculating the Number of Cookies Eaten by Domingo and Cynthia

Oct 13, 2025 by miodeya.com 96 views

Introduction

Imagine a delicious package of cookies, and three friends - Domingo, Cynthia, and Brett - who love to indulge in them. In this scenario, Domingo consumed 3 out of every 5 cookies, Cynthia ate 1 out of every 9 cookies, and Brett ate the remaining cookies. The total number of cookies in the package is 45. Our task is to determine how many cookies Brett ate.

Understanding the Problem

To solve this problem, we need to understand the concept of ratios and proportions. A ratio is a comparison of two numbers, and a proportion is an equation that states that two ratios are equal. In this case, we have two ratios:

Domingo's ratio: 3 out of every 5 cookies
Cynthia's ratio: 1 out of every 9 cookies

We also know that the total number of cookies in the package is 45.

Calculating the Number of Cookies Eaten by Domingo and Cynthia

Let's start by calculating the number of cookies eaten by Domingo and Cynthia.

Domingo's share: 3 out of every 5 cookies = 3/5
Cynthia's share: 1 out of every 9 cookies = 1/9

To find the number of cookies eaten by Domingo, we can multiply the total number of cookies by Domingo's ratio:

45 x (3/5) = 27

So, Domingo ate 27 cookies.

To find the number of cookies eaten by Cynthia, we can multiply the total number of cookies by Cynthia's ratio:

45 x (1/9) = 5

So, Cynthia ate 5 cookies.

Calculating the Number of Cookies Eaten by Brett

Now that we know the number of cookies eaten by Domingo and Cynthia, we can find the number of cookies eaten by Brett.

The total number of cookies eaten by Domingo and Cynthia is:

27 (Domingo) + 5 (Cynthia) = 32

Since there are 45 cookies in the package, the number of cookies eaten by Brett is:

45 - 32 = 13

So, Brett ate 13 cookies.

Conclusion

In this problem, we used the concept of ratios and proportions to determine how many cookies Brett ate. By understanding the ratios of cookies eaten by Domingo and Cynthia, we were able to find the number of cookies eaten by Brett. This problem requires a strong understanding of mathematical concepts and the ability to apply them to real-world scenarios.

Key Takeaways

Ratios and proportions are essential concepts in mathematics.
Understanding ratios and proportions can help us solve problems involving fractions and decimals.
This problem requires a strong understanding of mathematical concepts and the ability to apply them to real-world scenarios.

Real-World Applications

This problem has real-world applications in various fields, such as:

Cooking: When baking a cake, you need to understand ratios of ingredients to ensure the cake turns out right.
Science: In chemistry, ratios of reactants and products are crucial in understanding chemical reactions.
Business: In finance, ratios of assets to liabilities are essential in understanding a company's financial health.

Practice Problems

Try solving the following problems to practice your understanding of ratios and proportions:

A bakery sells 3 out of every 5 loaves of bread. If they sell 120 loaves of bread, how many loaves of bread do they sell in total?
A company has a ratio of 2 out of every 5 employees who are women. If the company has 100 employees, how many employees are women?
A recipe calls for 2 out of every 3 cups of flour. If you need 6 cups of flour, how many cups of flour do you need to buy?

Answer Key

120
40
4
Domingo, Cynthia, and Brett: A Cookie Conundrum - Q&A =====================================================

Introduction

In our previous article, we solved a problem involving three friends - Domingo, Cynthia, and Brett - who love to indulge in cookies. Domingo consumed 3 out of every 5 cookies, Cynthia ate 1 out of every 9 cookies, and Brett ate the remaining cookies. The total number of cookies in the package is 45. Our task was to determine how many cookies Brett ate.

Q&A Session

Q: What is the ratio of cookies eaten by Domingo? A: The ratio of cookies eaten by Domingo is 3 out of every 5 cookies, which can be written as 3/5.

Q: How many cookies did Domingo eat? A: To find the number of cookies eaten by Domingo, we can multiply the total number of cookies by Domingo's ratio: 45 x (3/5) = 27.

Q: What is the ratio of cookies eaten by Cynthia? A: The ratio of cookies eaten by Cynthia is 1 out of every 9 cookies, which can be written as 1/9.

Q: How many cookies did Cynthia eat? A: To find the number of cookies eaten by Cynthia, we can multiply the total number of cookies by Cynthia's ratio: 45 x (1/9) = 5.

Q: How many cookies did Brett eat? A: To find the number of cookies eaten by Brett, we can subtract the number of cookies eaten by Domingo and Cynthia from the total number of cookies: 45 - (27 + 5) = 13.

Q: What is the total number of cookies eaten by Domingo and Cynthia? A: The total number of cookies eaten by Domingo and Cynthia is 27 (Domingo) + 5 (Cynthia) = 32.

Q: What is the total number of cookies in the package? A: The total number of cookies in the package is 45.

Q: How can we use ratios and proportions to solve real-world problems? A: Ratios and proportions are essential concepts in mathematics that can be used to solve real-world problems in various fields, such as cooking, science, and business.

Q: What are some real-world applications of ratios and proportions? A: Some real-world applications of ratios and proportions include:

Cooking: When baking a cake, you need to understand ratios of ingredients to ensure the cake turns out right.
Science: In chemistry, ratios of reactants and products are crucial in understanding chemical reactions.
Business: In finance, ratios of assets to liabilities are essential in understanding a company's financial health.

Q: How can we practice our understanding of ratios and proportions? A: We can practice our understanding of ratios and proportions by trying to solve problems involving fractions and decimals, such as:

A bakery sells 3 out of every 5 loaves of bread. If they sell 120 loaves of bread, how many loaves of bread do they sell in total?
A company has a ratio of 2 out of every 5 employees who are women. If the company has 100 employees, how many employees are women?
A recipe calls for 2 out of every 3 cups of flour. If you need 6 cups of flour, how many cups of flour do you need to buy?

Answer Key

Conclusion

In this Q&A session, we discussed the problem of Domingo, Cynthia, and Brett and their love for cookies. We used ratios and proportions to determine how many cookies Brett ate and explored real-world applications of these concepts. We also provided practice problems to help you improve your understanding of ratios and proportions.