Answer :
- Divide both sides of the equation by 6.
- Simplify the equation to isolate $w$.
- Perform the division to find the value of $w$.
- The solution is $\boxed{6.4}$.
### Explanation
1. Understanding the problem
We are given the equation $38.4 = 6w$ and we want to solve for $w$. This means we want to isolate $w$ on one side of the equation.
2. Isolating w
To isolate $w$, we need to divide both sides of the equation by 6:$$\frac{38.4}{6} = \frac{6w}{6}$$
3. Simplifying the equation
Now we simplify the equation:$$\frac{38.4}{6} = w$$
4. Calculating the value of w
We perform the division:$$w = 6.4$$
5. Final Answer
Therefore, the solution is $w = 6.4$.
### Examples
Imagine you're buying multiple items of the same price. If you spent $38.40 on 6 identical items, this problem helps you calculate the cost of each item. Understanding how to solve for a variable in an equation is crucial for budgeting, calculating unit prices, and understanding financial transactions. This algebraic skill is essential for making informed purchasing decisions and managing your finances effectively.
- Simplify the equation to isolate $w$.
- Perform the division to find the value of $w$.
- The solution is $\boxed{6.4}$.
### Explanation
1. Understanding the problem
We are given the equation $38.4 = 6w$ and we want to solve for $w$. This means we want to isolate $w$ on one side of the equation.
2. Isolating w
To isolate $w$, we need to divide both sides of the equation by 6:$$\frac{38.4}{6} = \frac{6w}{6}$$
3. Simplifying the equation
Now we simplify the equation:$$\frac{38.4}{6} = w$$
4. Calculating the value of w
We perform the division:$$w = 6.4$$
5. Final Answer
Therefore, the solution is $w = 6.4$.
### Examples
Imagine you're buying multiple items of the same price. If you spent $38.40 on 6 identical items, this problem helps you calculate the cost of each item. Understanding how to solve for a variable in an equation is crucial for budgeting, calculating unit prices, and understanding financial transactions. This algebraic skill is essential for making informed purchasing decisions and managing your finances effectively.
