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Given:
The number = 4
To find:
Four times a number is what (%) percent increase in that number.
Solution:
Let the numbr be = x
Therefore,
Four times of x will be = 4x.
Now,
4x is greater than x by (4x – x) = 3x.
Calculating the percentage increase -
Increase = Increase/ Original Number × 100
Substituting the values -
x = 3x/x × 100
= 300
Answer: Four times a number is 300% percent increase in that number.
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Now, let's delve into the concepts presented in the given article:
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Variables and Equations: The article introduces a variable, denoted as "x," to represent an unknown number. It then sets up an equation: "Four times a number (4x) is what (%) percent increase in that number." This equation is the foundation for the subsequent solution.
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Expression and Algebraic Manipulation: The expression "Four times of x" is represented algebraically as "4x." The article demonstrates algebraic manipulation by subtracting the original number (x) from four times the number (4x) to find the increase, which is given by (4x - x) = 3x.
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Percentage Increase: To calculate the percentage increase, the article employs the formula:
[ \text{Percentage Increase} = \left( \frac{\text{Increase}}{\text{Original Number}} \right) \times 100. ] Substituting the calculated increase (3x) and the original number (x) into this formula, the percentage increase is determined. -
Mathematical Operations: The article involves basic mathematical operations, including addition, subtraction, multiplication, and division. For instance, subtracting x from 4x and calculating percentages involve these fundamental operations.
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Problem Solving: The article presents a mathematical problem and systematically solves it step by step. It demonstrates the process of defining the problem, setting up equations, manipulating expressions, and applying relevant mathematical formulas to arrive at a solution.
In conclusion, the given article illustrates proficiency in fundamental algebraic concepts, equation solving, and percentage calculations. The step-by-step approach showcases a solid understanding of mathematical principles, making it a reliable source for learning and understanding these concepts.
