Calculating the Percentage of Small Hot Drinks Sold

Oct 13, 2025 by talynt.org 126 views

Introduction

In this article, we will be discussing a matrix that represents the number of different types of drinks sold at a store. The matrix is given as:

{ \begin{array}{lll} \text{Small Hot} & \text{Hot} & \text{Cold} \\ 31 & 40 & 28 \\ 31 & 50 & 48 \\ \end{array} \}

We will be analyzing this matrix to find the percentage of small drinks sold that were hot.

Understanding the Matrix

The matrix has three rows and three columns. The rows represent the different types of drinks sold, and the columns represent the number of drinks sold for each type. The first row represents the number of small hot drinks sold, the second row represents the number of hot drinks sold, and the third row represents the number of cold drinks sold.

Calculating the Percentage of Small Hot Drinks Sold

To calculate the percentage of small hot drinks sold, we need to find the total number of small hot drinks sold and divide it by the total number of small drinks sold.

From the matrix, we can see that the number of small hot drinks sold is 31. The total number of small drinks sold is the sum of the number of small hot drinks sold and the number of small cold drinks sold. Since the number of small cold drinks sold is not given in the matrix, we need to find it.

Finding the Number of Small Cold Drinks Sold

To find the number of small cold drinks sold, we need to look at the third row of the matrix. The third row represents the number of cold drinks sold, and the first column represents the number of small cold drinks sold. From the matrix, we can see that the number of small cold drinks sold is 28.

Calculating the Total Number of Small Drinks Sold

Now that we have the number of small hot drinks sold and the number of small cold drinks sold, we can calculate the total number of small drinks sold. The total number of small drinks sold is the sum of the number of small hot drinks sold and the number of small cold drinks sold.

Total number of small drinks sold = 31 (small hot drinks) + 28 (small cold drinks) = 59

Calculating the Percentage of Small Hot Drinks Sold

Now that we have the total number of small drinks sold, we can calculate the percentage of small hot drinks sold. The percentage of small hot drinks sold is the number of small hot drinks sold divided by the total number of small drinks sold, multiplied by 100.

Percentage of small hot drinks sold = (31 / 59) x 100 = 52.54%

Conclusion

In this article, we analyzed a matrix that represents the number of different types of drinks sold at a store. We calculated the percentage of small hot drinks sold by finding the total number of small hot drinks sold and dividing it by the total number of small drinks sold. The percentage of small hot drinks sold is 52.54%.

Discussion

The matrix shows that the store sells a variety of drinks, including small hot, hot, and cold drinks. The percentage of small hot drinks sold is 52.54%, which means that more than half of the small drinks sold are hot. This could be an indication that the store's customers prefer hot drinks over cold drinks.

Mathematical Concepts

This article uses the following mathematical concepts:

Matrices: A matrix is a table of numbers, symbols, or expressions that are arranged in rows and columns.
Percentages: A percentage is a way of expressing a value as a fraction of 100.
Division: Division is the process of finding the quotient of two numbers.
Multiplication: Multiplication is the process of finding the product of two numbers.

Real-World Applications

This article has real-world applications in the following areas:

Business: The matrix can be used to analyze sales data and make informed decisions about inventory and pricing.
Marketing: The matrix can be used to analyze customer preferences and develop targeted marketing campaigns.
Statistics: The matrix can be used to analyze data and make predictions about future trends.

Future Research Directions

This article has the following future research directions:

Analyzing the matrix to find the percentage of hot drinks sold.
Developing a model to predict sales based on the matrix.
Using the matrix to analyze customer preferences and develop targeted marketing campaigns.

Limitations

This article has the following limitations:

The matrix only represents the number of drinks sold, and does not take into account other factors such as revenue and profit.
The article assumes that the data in the matrix is accurate and complete.
The article does not consider the impact of external factors such as weather and seasonality on sales.
Q&A: The Matrix Shows the Number of Different Types of Drinks Sold at a Store ====================================================================

Q: What is the matrix that represents the number of different types of drinks sold at a store?

A: The matrix is a table of numbers that shows the number of small hot, hot, and cold drinks sold at a store. It is given as:

{ \begin{array}{lll} \text{Small Hot} & \text{Hot} & \text{Cold} \\ 31 & 40 & 28 \\ 31 & 50 & 48 \\ \end{array} \}

Q: How do you calculate the percentage of small hot drinks sold?

A: To calculate the percentage of small hot drinks sold, you need to find the total number of small hot drinks sold and divide it by the total number of small drinks sold. The total number of small hot drinks sold is 31, and the total number of small drinks sold is 59. Therefore, the percentage of small hot drinks sold is (31 / 59) x 100 = 52.54%.

Q: What is the total number of small drinks sold?

A: The total number of small drinks sold is the sum of the number of small hot drinks sold and the number of small cold drinks sold. Since the number of small cold drinks sold is 28, the total number of small drinks sold is 31 (small hot drinks) + 28 (small cold drinks) = 59.

Q: How do you find the number of small cold drinks sold?

A: To find the number of small cold drinks sold, you need to look at the third row of the matrix. The third row represents the number of cold drinks sold, and the first column represents the number of small cold drinks sold. From the matrix, you can see that the number of small cold drinks sold is 28.

Q: What is the percentage of hot drinks sold?

A: To calculate the percentage of hot drinks sold, you need to find the total number of hot drinks sold and divide it by the total number of drinks sold. The total number of hot drinks sold is 40 + 50 = 90, and the total number of drinks sold is 31 + 40 + 28 + 31 + 50 + 48 = 228. Therefore, the percentage of hot drinks sold is (90 / 228) x 100 = 39.47%.

Q: What is the percentage of cold drinks sold?

A: To calculate the percentage of cold drinks sold, you need to find the total number of cold drinks sold and divide it by the total number of drinks sold. The total number of cold drinks sold is 28 + 48 = 76, and the total number of drinks sold is 31 + 40 + 28 + 31 + 50 + 48 = 228. Therefore, the percentage of cold drinks sold is (76 / 228) x 100 = 33.33%.

Q: What is the total number of drinks sold?

A: The total number of drinks sold is the sum of the number of small hot drinks sold, the number of hot drinks sold, the number of cold drinks sold, the number of small cold drinks sold, the number of hot cold drinks sold, and the number of cold hot drinks sold. From the matrix, you can see that the total number of drinks sold is 31 + 40 + 28 + 31 + 50 + 48 = 228.

Q: How do you use the matrix to analyze sales data?

A: You can use the matrix to analyze sales data by looking at the number of drinks sold for each type of drink. For example, you can see that the store sells more hot drinks than cold drinks, and that the number of small hot drinks sold is higher than the number of small cold drinks sold.

Q: What are some real-world applications of the matrix?

A: Some real-world applications of the matrix include:

Analyzing sales data to make informed decisions about inventory and pricing.
Developing targeted marketing campaigns based on customer preferences.
Predicting sales based on historical data.

Q: What are some limitations of the matrix?

A: Some limitations of the matrix include:

The matrix only represents the number of drinks sold, and does not take into account other factors such as revenue and profit.
The article assumes that the data in the matrix is accurate and complete.
The article does not consider the impact of external factors such as weather and seasonality on sales.