Calculating the Number of Black Balloons

Oct 13, 2025 by talynt.org 14 views

Introduction

Carter has a collection of 60 balloons, each with a unique color. Among these balloons, some are black, some are white, and the rest are red. In this problem, we will determine the number of red balloons Carter has. To do this, we need to calculate the number of black and white balloons first, and then subtract the total from the initial number of balloons to find the number of red balloons.

Calculating the Number of Black Balloons

The fraction ${$ \frac{4}{12}$}$ represents the proportion of black balloons. To find the number of black balloons, we need to multiply this fraction by the total number of balloons.

Number of black balloons = \frac{4}{12} \times 60

To simplify the calculation, we can first simplify the fraction ${$ \frac{4}{12}$}$ by dividing both the numerator and the denominator by their greatest common divisor, which is 4.

\frac{4}{12} = \frac{1}{3}

Now, we can multiply the simplified fraction by the total number of balloons.

Number of black balloons = \frac{1}{3} \times 60

To find the product, we can multiply the numerator by 60 and then divide by the denominator.

Number of black balloons = \frac{60}{3}

Number of black balloons = 20

Calculating the Number of White Balloons

The fraction ${$ \frac{3}{12}$}$ represents the proportion of white balloons. To find the number of white balloons, we need to multiply this fraction by the total number of balloons.

Number of white balloons = \frac{3}{12} \times 60

To simplify the calculation, we can first simplify the fraction ${$ \frac{3}{12}$}$ by dividing both the numerator and the denominator by their greatest common divisor, which is 3.

\frac{3}{12} = \frac{1}{4}

Now, we can multiply the simplified fraction by the total number of balloons.

Number of white balloons = \frac{1}{4} \times 60

To find the product, we can multiply the numerator by 60 and then divide by the denominator.

Number of white balloons = \frac{60}{4}

Number of white balloons = 15

Calculating the Number of Red Balloons

Now that we have found the number of black and white balloons, we can find the number of red balloons by subtracting the total number of black and white balloons from the initial number of balloons.

Number of red balloons = Total number of balloons - (Number of black balloons + Number of white balloons)

Number of red balloons = 60 - (20 + 15)

Number of red balloons = 60 - 35

Number of red balloons = 25

Therefore, Carter has 25 red balloons.

Conclusion

Introduction

In our previous article, we solved a math problem involving Carter's balloon collection. We calculated the number of red balloons by finding the number of black and white balloons first and then subtracting the total from the initial number of balloons. In this article, we will answer some frequently asked questions related to the problem.

Q: What is the total number of balloons in Carter's collection?

A: The total number of balloons in Carter's collection is 60.

Q: What fraction represents the proportion of black balloons?

A: The fraction ${$ \frac{4}{12}$}$ represents the proportion of black balloons.

Q: What fraction represents the proportion of white balloons?

A: The fraction ${$ \frac{3}{12}$}$ represents the proportion of white balloons.

Q: How many black balloons does Carter have?

A: To find the number of black balloons, we need to multiply the fraction ${$ \frac{4}{12}$}$ by the total number of balloons. The result is 20 black balloons.

Q: How many white balloons does Carter have?

A: To find the number of white balloons, we need to multiply the fraction ${$ \frac{3}{12}$}$ by the total number of balloons. The result is 15 white balloons.

Q: How many red balloons does Carter have?

A: To find the number of red balloons, we need to subtract the total number of black and white balloons from the initial number of balloons. The result is 25 red balloons.

Q: Why did we simplify the fractions ${$ \frac{4}{12}$}$ and ${$ \frac{3}{12}$}$?

A: We simplified the fractions to make the calculations easier. By dividing both the numerator and the denominator by their greatest common divisor, we were able to simplify the fractions and make the calculations more manageable.

Q: What is the importance of fractions in real-world applications?

A: Fractions are essential in real-world applications, such as calculating proportions, ratios, and percentages. They help us to represent and analyze data in a more accurate and efficient way.

Q: How can we use this problem to practice our math skills?

A: We can use this problem to practice our math skills by trying to solve it on our own, without looking at the solution. We can also try to come up with our own math problems involving fractions and proportions.

Conclusion

In this article, we answered some frequently asked questions related to Carter's balloon collection problem. We covered topics such as the total number of balloons, the proportion of black and white balloons, and the number of red balloons. We also discussed the importance of fractions in real-world applications and how we can use this problem to practice our math skills.