91Ó°ÊÓ

When you come across a problem where you need to find an unknown amount from a known percentage, you're essentially working backwards to determine the whole from a part. In this exercise, we know that \(2496\) represents \(24\text{ %}\) of an unknown quantity, which we have called 'x'. By setting up and solving an equation, we can find this unknown amount. Start by recognizing that \(2496\) is a part (24\text{ %}) of the total amount. Use the equation:
\text {If } \text {Part} = \text {Percentage} \times \text{Total}, which translates to:
\(2496 = 0.24 \times x\)
Now, solve for 'x' to find the total amount. Always ensure to isolate the variable completely.

In the process of finding unknown amounts, we often use algebraic equations. An equation is a statement that two expressions are equal. Here, we have the equation: \(2496 = 0.24 \times x\).
To solve the equation, the goal is to isolate the unknown variable (in this case, 'x') on one side of the equation. This requires basic algebraic operations.
First, recognize that \(0.24\) represents 24%. So, rewrite the problem as:
\(2496 = 0.24 \times x\).
To isolate 'x', divide both sides by \(0.24\): \(\frac{2496}{0.24} = x\).
Through this division, the equation simplifies, and we find that: \(x = 10400\).
Always verify by plugging 'x' back into the original context to ensure the solution is correct.

Division is a fundamental arithmetic operation that lets us split a number into equal parts or groups. It's especially useful when resolving equations like the one in our exercise.
When we isolated 'x' in our equation \(2496 = 0.24 \times x\), the next step was to perform a division to find the value of 'x'. This involved dividing \(2496\) by \(0.24\):
\(\frac{2496}{0.24} = x\).
This calculation tells us how many 24% groups fit into \(2496\). By performing this division, we calculate \(x\) to be 10400.
Division, in essence, undoes multiplication, making it powerful for solving equations where a variable is multiplied by a number. Practice dividing both simple and complex figures to sharpen your problem-solving skills. Always double-check by multiplying the quotient (result) back with the divisor. This way, you confirm your result, ensuring accuracy.