25 Of What Number Is 6

25% of What Number is 6? Solving Percentage Problems

This article will guide you through solving the common percentage problem: "25% of what number is 6?". We'll break down the process step-by-step, explaining the underlying math and providing practical tips for solving similar problems. This is a fundamental concept in mathematics with applications in various fields, from finance to everyday calculations. Understanding percentages is crucial for anyone aiming to improve their numeracy skills.

Understanding the Problem

The question "25% of what number is 6?" is essentially asking you to find the whole number (or base) when you know a part of it (6) and the percentage that part represents (25%). This is a common type of percentage problem, and we'll demonstrate two methods to find the solution.

Method 1: Using Algebra

This method utilizes algebraic equations to solve for the unknown number. Let's represent the unknown number with the variable 'x'. We can translate the problem into an equation:

0.25 * x = 6

To solve for 'x', we need to isolate it on one side of the equation. We do this by dividing both sides by 0.25:

x = 6 / 0.25

x = 24

Therefore, 25% of 24 is 6.

Method 2: Using Proportions

This method utilizes the concept of ratios and proportions to solve the problem. We can set up a proportion as follows:

25/100 = 6/x

This proportion states that 25 is to 100 (or 25%) as 6 is to the unknown number (x). To solve for 'x', we cross-multiply:

25 * x = 6 * 100

25x = 600

Now, divide both sides by 25:

x = 600 / 25

x = 24

Again, we find that the answer is 24.

Practical Application and Further Exploration

Understanding how to solve percentage problems like this is crucial for various real-world scenarios. Imagine you're calculating discounts, figuring out tax amounts, or determining the original price of an item after a sale. The ability to manipulate percentages is a valuable skill.

Similar Percentage Problems:

Try practicing with similar problems to solidify your understanding:

• 10% of what number is 5?
• 75% of what number is 12?
• 15% of what number is 9?

By practicing these different problems, you'll develop a strong understanding of percentage calculations and become more confident in solving these types of mathematical problems. Remember to choose the method you find most comfortable and efficient – both algebra and proportions provide accurate solutions. The key is to consistently apply the principles involved.