Solving the Equation: What Number Multiplied by 6 Equals 90?
Often, we encounter simple yet intriguing mathematical questions that challenge our understanding of basic arithmetic. One such question is: "What number multiplied by 6 equals 90?" This article aims to explore various methods to solve this problem, including algebraic methods and a practical application using percentages.
Introduction to the Problem
The equation in question is:
6x 90
Where x is the unknown number we are looking for. Let's explore different approaches to finding this number.
Algebraic Explanation
We start by setting up the equation:
Step 1: Initial Setup
Given the equation:
6x 90
Our goal is to solve for x. This requires isolating x on one side of the equation.
Step 2: Simplification and Solving
To simplify the equation, we can divide both sides by 6:
6x / 6 90 / 6
This simplifies to:
x 15
Therefore, the number that when multiplied by 6 equals 90 is 15.
Verification
To verify this solution, we substitute x 15 back into the original equation:
6 * 15 90
This confirms that the solution is correct.
Alternative Approach
Another way to solve this problem is through the use of percentages. We can rewrite the equation as:
Step 1: Percentage Setup
a * 6/100 90
Where a is the unknown number we are looking for.
Step 2: Solving for a
To isolate a, we multiply both sides by 100 and then divide by 6:
a 90 * 100 / 6
This simplifies to:
a 1500
Therefore, the number that when multiplied by 6 equals 90 is 1500 in the context of percentage representation.
Conclusion
Through both algebraic and percentage-based methods, we have determined that the number that when multiplied by 6 equals 90 is 15. This problem not only highlights the power of algebra in solving simple equations but also demonstrates how percentages can be used to represent similar mathematical concepts.
Key Takeaways
The key takeaways from this article include:
Understanding algebraic equations: Learning how to solve for unknown variables in simple equations. Applying percentages: Recognizing how percentages can be used to represent real-world numerical values. Simple problem-solving: Identifying and solving basic mathematical problems that require logical reasoning.By mastering these concepts, you will be better equipped to tackle more complex mathematical challenges in the future.