25 Of What Number Is 13

Introduction:

In the vast world of numbers, relationships between them hold significant importance. Unraveling these relationships can be a captivating quest, leading us to discover hidden patterns and intriguing connections. Embark on a journey to uncover the mystery behind “25 of what number is 13” and unveil the secrets it holds.

Pain Points:

Amidst the complexities of numerical relationships, certain calculations can pose challenges that leave us feeling perplexed. The task of determining “25 of what number is 13” might seem daunting, especially without a clear method or approach. This article aims to alleviate these difficulties by providing a step-by-step guide and insightful explanations to illuminate the path to the solution.

The Answer:

After careful consideration, meticulous calculations, and a step-by-step analysis, we can confidently reveal that the answer to “25 of what number is 13” is 52. This intriguing relationship between 25, 13, and 52 holds special significance in the world of mathematics and opens up avenues for further exploration.

Summary:

In this journey to decipher “25 of what number is 13”, we encountered intriguing concepts and a fascinating answer. We discovered that 25 of 52 is equal to 13, a relationship that invites further contemplation and investigation. As you continue your mathematical explorations, remember that perseverance and methodical thinking can unlock the secrets hidden within numerical patterns.

25 Of What Number Is 13

1. Understanding the Concept of Percentage:

A percentage is a mathematical term used to represent a part of a whole, expressed as a fraction of 100. It is denoted by the symbol “%”.

1.1. Calculating Percentage:

To find the percentage of a number, you divide the part by the whole and multiply the result by 100.

Formula:

Percentage (%) = (Part / Whole) * 100

1.2. Example:

If you have a group of 100 students in a class, and 25 of them are girls, then the percentage of girls in the class is:

Percentage of girls = (25 / 100) * 100 = 25%

2. Applying Percentage to a Given Number:

To find what number is 25% of a given number, you can use the following steps:

2.1. Set up the Equation:

Let’s assume the given number is “x”. We want to find the number that is 25% of “x”. We can set up the equation:

25% of x = 13

2.2. Convert Percentage to Decimal:

To work with percentages in mathematical calculations, we need to convert them to decimals. To convert 25% to a decimal, divide 25 by 100:

25% = 25 / 100 = 0.25

2.3. Solve for “x”:

Now, we can solve the equation for “x”:

0.25x = 13

Divide both sides by 0.25:

x = 13 / 0.25

Simplify:

x = 52

Therefore, 25% of 52 is 13.

3. Practical Applications of Percentage:

Percentage has wide-ranging applications in various fields. Here are a few examples:

3.1. Sales and Discounts:

Percentages are used to calculate discounts and markdowns in retail and e-commerce. For instance, a 20% discount on an item means it is being sold at 80% of its original price.

3.2. Interest Rates:

In finance, percentages are used to express annual interest rates on loans, savings accounts, and investments. A 5% interest rate means that for every $100 borrowed, you will pay $5 in interest per year.

3.3. Grades and Scores:

In education, percentages are used to represent grades and scores. A student who scores 80% on a test has correctly answered 80% of the questions.

3.4. Polls and Surveys:

In statistics, percentages are used to summarize and present data from polls and surveys. For instance, a poll result might show that 65% of respondents support a particular political candidate.

4. Percentage Word Problems:

Percentage word problems are mathematical problems that involve finding a percentage of a number or calculating the whole number given a percentage and a part.

4.1. Example:

Problem:

A clothing store is offering a 30% discount on all items. If a shirt initially costs $20, what is the sale price after the discount?

Solution:

  1. Calculate the discount amount:

Discount = 30% of $20 = 0.30 x $20 = $6

  1. Subtract the discount from the original price to find the sale price:

Sale price = $20 – $6 = $14

Therefore, the sale price of the shirt is $14.

Conclusion:

Percentage is a fundamental mathematical concept used to represent parts of a whole and perform various calculations involving proportions and ratios. It has practical applications in areas like sales, finance, education, and statistics. Understanding and skillfully applying percentages is essential for solving problems and making informed decisions in everyday life.

FAQs:

  1. What is the formula for calculating percentage?

    Answer: Percentage (%) = (Part / Whole) * 100

  2. How do you find what number is a certain percentage of another number?

    Answer: You divide the part by the percentage as a decimal and solve for the whole.

  3. What is the sale price of an item if it is being sold at a 20% discount from its original price of $50?

    Answer: Sale price = $50 – (0.20 x $50) = $40

  4. If a student scores 75% on a test worth 100 points, how many points did they earn?

    Answer: Points earned = 75% of 100 points = 0.75 x 100 points = 75 points

  5. In a survey, 45% of the respondents preferred chocolate ice cream. If 200 people participated in the survey, how many people preferred chocolate ice cream?

    Answer: Number of people preferring chocolate ice cream = 45% of 200 = 0.45 x 200 = 90 people

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