91Ó°ÊÓ

When solving number word problems, algebraic equations are a powerful tool. In our exercise, we needed to find the cost of each sticker book Minh bought. First, we recognized that we had a total cost of \(\$6.25\) for five books. We let \(x\) represent the unknown cost of one book, setting up the equation \[5x = 6.25\]. This is a linear equation, meaning it involves variables to the first power only.
To solve for our variable \(x\), the next step is to isolate \(x\) by performing the same operation on both sides of the equation. This ensures the equation stays balanced while we work towards finding our solution. Understanding how to set up and solve algebraic equations helps in breaking down and solving many real-world problems.

Division plays a crucial role in many algebraic problems. In our equation \[5x = 6.25\], after setting up, we needed to isolate \(x\) by dividing both sides of the equation by 5. This is expressed as \[x = \frac{6.25}{5}\].
Division essentially means splitting a number into equal parts. Here, it involves figuring how much one part (one sticker book) costs if the total cost is \(\$6.25\) for five parts (five sticker books). When we perform the operation, we get \(\$1.25\) for each sticker book. Practicing division is essential in solving many different types of math problems, especially those that involve distributing or sharing quantities equally.

Cost calculation often comes up in everyday life, whether you are shopping or budgeting. In the problem, we were calculating the cost of an individual sticker book. Minh's total expenditure was \(\$6.25\) for five sticker books.
Calculating costs like this usually involves understanding the total amount spent and the quantity purchased, then dividing the total cost by the quantity. This is a great example of basic arithmetic in action.
Cost calculation can be applied to various scenarios such as food shopping, planning a trip, or managing expenses. It's an important skill to master for both academic purposes and practical daily living. Always remember to break down the problem into smaller, more manageable equations, and apply division if needed, to find the cost per unit.