- The equation given is \(8c = 88\).
- Isolate \(c\) by dividing both sides of the equation by the coefficient 8.
- Calculate the result: \(c = \frac{88}{8} = 11\).
- The final answer is \(\boxed{11}\).
Explanation
- Analysis of the Equation
The equation provided is a simple linear equation in one variable: \(8c = 88\). To isolate the variable \(c\), we need to eliminate the coefficient multiplying it, which is 8. This is done by dividing both sides of the equation by 8.
- Solving for \(c\)
To solve for \(c\), divide both sides of the equation by 8:
\[c = \frac{88}{8}\]
Performing the division:
\[c = 11\]
Thus, the value of \(c\) is 11.
Examples
Imagine you are buying packs of trading cards where each pack costs the same price, and a box containing 8 packs costs 88 dollars. To find the price of a single pack, you would set up the equation 8c = 88, where c is the price of one pack. By solving this equation, you determine that each pack costs 11 dollars. This basic algebraic skill is essential for managing budgets, calculating unit prices in grocery shopping, or determining individual shares of a total cost.