A Bakery Made 100 Donuts. In The Display Case, 40 100 \frac{40}{100} 100 40 Were Chocolate, 3 10 \frac{3}{10} 10 3 Were Glazed, And The Rest Were Cinnamon. Which Fraction Of The Donuts Were Cinnamon?A. 30 100 \frac{30}{100} 100 30 B.

Mar 9, 2025 by ADMIN 240 views

A Bakery Made 100 Donuts: Finding the Fraction of Cinnamon Donuts

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Introduction

In this problem, we are given a bakery that made 100 donuts. The display case contains a certain number of chocolate, glazed, and cinnamon donuts. We are asked to find the fraction of donuts that were cinnamon. To solve this problem, we need to first find the number of chocolate and glazed donuts, and then subtract this from the total number of donuts to find the number of cinnamon donuts.

Calculating the Number of Chocolate Donuts

The fraction of chocolate donuts is given as $\frac{40}{100}$ . To find the number of chocolate donuts, we can multiply this fraction by the total number of donuts.

$\frac{40}{100} \times 100 = 40$

So, there are 40 chocolate donuts.

Calculating the Number of Glazed Donuts

The fraction of glazed donuts is given as $\frac{3}{10}$ . To find the number of glazed donuts, we can multiply this fraction by the total number of donuts.

$\frac{3}{10} \times 100 = 30$

So, there are 30 glazed donuts.

Calculating the Number of Cinnamon Donuts

To find the number of cinnamon donuts, we can subtract the number of chocolate and glazed donuts from the total number of donuts.

$100 - 40 - 30 = 30$

So, there are 30 cinnamon donuts.

Finding the Fraction of Cinnamon Donuts

To find the fraction of cinnamon donuts, we can divide the number of cinnamon donuts by the total number of donuts.

$\frac{30}{100} = \frac{3}{10}$

So, the fraction of cinnamon donuts is $\frac{3}{10}$ .

Conclusion

In this problem, we were given a bakery that made 100 donuts. We were asked to find the fraction of donuts that were cinnamon. To solve this problem, we first found the number of chocolate and glazed donuts, and then subtracted this from the total number of donuts to find the number of cinnamon donuts. Finally, we divided the number of cinnamon donuts by the total number of donuts to find the fraction of cinnamon donuts.

Answer

The answer is $\boxed{\frac{3}{10}}$ .

Discussion

This problem is a great example of how fractions can be used to represent parts of a whole. In this case, we used fractions to represent the number of chocolate, glazed, and cinnamon donuts. We then used these fractions to find the number of cinnamon donuts and the fraction of cinnamon donuts.

Real-World Application

This problem has many real-world applications. For example, in a bakery, the owner may want to know the fraction of donuts that are cinnamon in order to determine how many to make. In a restaurant, the chef may want to know the fraction of customers who order a certain type of dish in order to determine how many to prepare.

Tips and Tricks

When solving problems like this, it's always a good idea to start by reading the problem carefully and making sure you understand what is being asked. Then, break down the problem into smaller steps and solve each step one at a time. Finally, check your work to make sure you have the correct answer.

Common Mistakes

One common mistake that people make when solving problems like this is to forget to subtract the number of chocolate and glazed donuts from the total number of donuts. This can lead to an incorrect answer. Another common mistake is to divide the number of cinnamon donuts by the number of chocolate and glazed donuts instead of the total number of donuts.

Additional Resources

For more practice problems like this, check out the following resources:

Khan Academy: Fractions
Mathway: Fractions
IXL: Fractions

Conclusion

In conclusion, this problem is a great example of how fractions can be used to represent parts of a whole. We used fractions to find the number of chocolate, glazed, and cinnamon donuts, and then used these fractions to find the fraction of cinnamon donuts. This problem has many real-world applications and is a great way to practice solving problems with fractions.

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Q: What is the total number of donuts made by the bakery?

A: The total number of donuts made by the bakery is 100.

Q: What fraction of the donuts were chocolate?

A: The fraction of the donuts that were chocolate is $\frac{40}{100}$ .

Q: How many chocolate donuts were made?

A: To find the number of chocolate donuts, we can multiply the fraction of chocolate donuts by the total number of donuts.

$\frac{40}{100} \times 100 = 40$

So, there are 40 chocolate donuts.

Q: What fraction of the donuts were glazed?

A: The fraction of the donuts that were glazed is $\frac{3}{10}$ .

Q: How many glazed donuts were made?

A: To find the number of glazed donuts, we can multiply the fraction of glazed donuts by the total number of donuts.

$\frac{3}{10} \times 100 = 30$

So, there are 30 glazed donuts.

Q: How many cinnamon donuts were made?

A: To find the number of cinnamon donuts, we can subtract the number of chocolate and glazed donuts from the total number of donuts.

$100 - 40 - 30 = 30$

So, there are 30 cinnamon donuts.

Q: What fraction of the donuts were cinnamon?

A: To find the fraction of cinnamon donuts, we can divide the number of cinnamon donuts by the total number of donuts.

$\frac{30}{100} = \frac{3}{10}$

So, the fraction of cinnamon donuts is $\frac{3}{10}$ .

Q: Why is it important to subtract the number of chocolate and glazed donuts from the total number of donuts?

A: It is important to subtract the number of chocolate and glazed donuts from the total number of donuts because this will give us the number of cinnamon donuts.

Q: What is the difference between a fraction and a percentage?

A: A fraction is a way of expressing a part of a whole, while a percentage is a way of expressing a part of a whole as a decimal.

Q: How can we convert a fraction to a percentage?

A: To convert a fraction to a percentage, we can divide the numerator by the denominator and multiply by 100.

Q: What is the percentage of cinnamon donuts?

A: To find the percentage of cinnamon donuts, we can convert the fraction of cinnamon donuts to a percentage.

$\frac{3}{10} \times 100 = 30\%$

So, the percentage of cinnamon donuts is 30%.

Q: Why is it important to check our work when solving problems like this?

A: It is important to check our work when solving problems like this because this will help us to ensure that we have the correct answer.

Q: What are some common mistakes that people make when solving problems like this?

A: Some common mistakes that people make when solving problems like this include forgetting to subtract the number of chocolate and glazed donuts from the total number of donuts, and dividing the number of cinnamon donuts by the number of chocolate and glazed donuts instead of the total number of donuts.

Q: How can we practice solving problems like this?

A: We can practice solving problems like this by working through practice problems and checking our work to ensure that we have the correct answer.

Q: What are some real-world applications of fractions?

A: Some real-world applications of fractions include calculating the cost of items, measuring ingredients for recipes, and determining the probability of events.

Q: Why is it important to understand fractions?

A: It is important to understand fractions because they are used in many real-world applications, and understanding fractions will help us to make informed decisions and solve problems.