Solving the Mystery of 'If 110 of x is 100 Then What is x?'

Understanding and solving equations is a fundamental part of algebra that can be both challenging and enlightening. Today, we'll delve into a seemingly simple problem with a detailed solution: if 110 of x is 100, then what is x? Let's break it down step by step to unravel this mystery.

Step-by-Step Solution: 'If 110 of x is 100 Then What is x?'

Let's start by writing out the given information as an equation:

110 of x Is 100

Express the problem as an equation:

110 of x

Mathematically, this can be written as:

11 / 100 100

Solve for x:

11x / 10 100

Multiply both sides by 10 to isolate 11x:

11x 1000

Divide both sides by 11:

11x 1000

Result:

x 1000 / 11

x ≈ 90.909

Alternatively

Express the problem as another equation:

11 / 100 100

Solve for x:

x 100 * 100 / 110

Result:

x 1000 / 11

x ≈ 90.909

Another Approach: Simplifying the Equation

Express the problem as a single equation:

x * 110 100

Solve for x:

x * 110 / 100 100

Isolate x:

x 10000 / 110

Result:

x 1000 / 11

x ≈ 90.909

Conclusion

Through these detailed steps, we have solved the problem of finding the value of x when 110 of x is 100. The solution, x ≈ 90.909, is obtained by carefully breaking down the equation and solving each step methodically.

Understanding algebraic concepts such as these is crucial for progressing in mathematics and related fields. Whether you are a student, teacher, or someone who simply wants to improve their math skills, this problem and its solution provide a great primer on solving for x in algebraic equations.