Dirk brought b breadsticks to a potluck. The breadsticks are packaged in bags of 4. Write an expression that shows how many packages of breadsticks Dirk bought

1. Break Down the Problem

To determine how many packages of breadsticks Dirk bought, we need to divide the total number of breadsticks he has by the number of breadsticks per package.

2. Relevant Concepts

The formula to find the number of packages can be represented as: $\text{Number of packages} = \frac{b}{4}$ where $b$ is the total number of breadsticks.

3. Analysis and Detail

Since the breadsticks are packaged in bags of 4, dividing $b$ by 4 gives us the quantity of packages needed. If $b$ is not a multiple of 4, this expression will yield a non-integer result, indicating that Dirk may have leftover breadsticks that do not make up a full package.

4. Verify and Summarize

To summarize, if Dirk has $b$ breadsticks, the expression that shows how many packages he bought is: $\frac{b}{4}$

Final Answer

The expression for the number of packages of breadsticks Dirk bought is $\frac{b}{4}$.