Directions: Write an equation and show how you solved each problem. In order to answer these questions, you may find it helpful to draw pictures on separate sheets of paper. 1. If Mrs. Bowlin separated the buttons evenly into 8 containers, how many buttons would be in each container?

Answer 1

To solve the problem, let's represent the total number of buttons that Mrs. Bowlin has with the variable \( B \).

If Mrs. Bowlin separates the buttons evenly into 8 containers, we can set up the equation as follows:

\[ \text{Number of buttons in each container} = \frac{B}{8} \]

To express this algebraically, we can also let \( x \) represent the number of buttons in each container:

\[ x = \frac{B}{8} \]

To find out how many buttons are in each container, we need specific information about \( B \). However, since \( B \) is not given in the problem, we cannot calculate the exact number of buttons per container.

Instead, let's assume a hypothetical total number of buttons. For example, if Mrs. Bowlin has 64 buttons:

\[ B = 64 \]

Then, plugging this value in, we calculate \( x \):

\[ x = \frac{64}{8} = 8 \]

So if Mrs. Bowlin has 64 buttons, there will be 8 buttons in each container.

Summary of Steps:

1. Let \( B \) represent the total number of buttons.
2. Set up the equation: \( x = \frac{B}{8} \).
3. Substitute a specific value for \( B \) (e.g., 64).
4. Calculate the result: \( x = 8 \).

If you have a different total number of buttons, simply plug in that value for \( B \) to find out how many buttons are in each container.

Answer 2

1,248

Answer 3

Great! Now that we know Mrs. Bowlin has 1,248 buttons, we can use that information to find out how many buttons would be in each of the 8 containers.

Step 1: Set up the equation

Using the formula we established earlier:

\[ x = \frac{B}{8} \]

Where:

• \( B = 1,248 \)
• \( x \) is the number of buttons in each container.

Step 2: Substitute the value of \( B \)

Substituting \( B = 1,248 \):

\[ x = \frac{1,248}{8} \]

Step 3: Calculate \( x \)

Now, perform the division:

\[ x = \frac{1,248}{8} = 156 \]

Conclusion

So, when Mrs. Bowlin separates the 1,248 buttons evenly into 8 containers, there will be 156 buttons in each container.

Summary of Steps:

1. Equation: \( x = \frac{B}{8} \)
2. Substitute: \( x = \frac{1,248}{8} \)
3. Calculate: \( x = 156 \)

Thus, each container will hold 156 buttons.