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The problem is asking for the total weight of flour used if the cupcake factory bakes 25 batches, using the equation provided:

\[
f = 10 \frac{1}{1}(b) + 10 \frac{1}{1}
\]

Here, the total flour used \( f \) depends on the number of batches \( b \), with the constants representing the flour per batch and the initial flour already used.

Simplifying the equation:
\[
f = 10b + 10
\]

Now, substituting \( b = 25 \) into the equation:

\[
f = 10(25) + 10 = 250 + 10 = 260
\]

Therefore, the total weight of flour used is **260 pounds**.

Would you like more details on any part of the calculation or have any questions?

Here are 5 related questions:
1. How would the total flour used change if the factory baked 30 batches?
2. What if the number of pounds per batch were reduced to 9 pounds instead of 10?
3. How can you represent this scenario using a graph for various batch numbers?
4. What if the factory had already used 15 pounds of flour instead of 10?
5. How would you adjust the equation if each batch used a variable amount of flour?

**Tip:** Always double-check if constants (like the flour per batch) change in word problems to avoid errors.

What is the total weight of flour used if they bake 25 batches?

Learn how to calculate the total weight of flour used in a cupcake factory for 25 batches using a linear equation. The problem involves key mathematical concepts such as multiplication and addition, suitable for Grades 6-8.

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