Solve for $b$. $\frac{b}{5}=4$
Answer (2)
To solve for b in the equation 5 b = 4 , multiply both sides by 5.
This isolates b on one side of the equation: b = 4 × 5 .
Perform the multiplication: b = 20 .
The solution is 20 .
Explanation
Understanding the equation We are given the equation 5 b = 4 and asked to solve for b . This means we need to isolate b on one side of the equation.
Isolating b To isolate b , we can multiply both sides of the equation by 5: 5 b × 5 = 4 × 5
Simplifying the equation This simplifies to: b = 4 × 5
Calculating the value of b Now, we perform the multiplication: b = 20
Final Answer Therefore, the solution is b = 20 .
Examples
Imagine you are baking a cake and the recipe calls for a certain amount of flour. If you only want to make a fraction of the cake, you need to adjust the amount of flour accordingly. For example, if the original recipe uses 5 cups of flour and you only want to make 5 1 of the cake, you would need to calculate 5 1 × 5 = 1 cup of flour. This problem demonstrates how to scale quantities proportionally, which is a common task in cooking, construction, and many other fields.
To solve 5 b = 4 , multiply both sides by 5 to isolate b . This results in b = 20 .
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