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Estelle is having her birthday party at Gold Frames Art Museum this year. A party package costs 

$

265

 and covers the entrance fee for guests, a private party room, and an activity guide. Estelle upgraded her package to include a favor for each of her 8 guests, bringing the total to 

$

305

.

Which equation can you use to find 

f

,

 the cost of each favor?

Let's define the problem:

- The initial cost of the party package is $265.
- The upgraded package, which includes a favor for each of the 8 guests, brings the total cost to $305.
- We need to find the cost of each favor, represented by $ f $.

### Step-by-Step Solution:

The total cost with the favors is the sum of the initial package cost and the cost of 8 favors. Therefore, the equation can be set up as:

\[
\text{Total cost} = \text{Package cost} + (\text{Number of guests} \times \text{Cost per favor})
\]

This gives the equation:

\[
305 = 265 + 8f
\]

Now, to solve for $ f $, we can rearrange the equation:

\[
305 - 265 = 8f
\]

\[
40 = 8f
\]

Finally, divide both sides by 8:

\[
f = \frac{40}{8} = 5
\]

### Conclusion:
The cost of each favor, $ f $, is $5.

Would you like further details or clarification on any part of this?

---

Here are 5 related questions you can explore:
1. What if Estelle had 10 guests instead of 8? What would the total cost be?
2. How would the equation change if the favor costs $7 instead of $5?
3. If the total cost were $350, what would be the cost of each favor for the 8 guests?
4. How much more would the total cost be if each favor cost $6 instead of $5?
5. What if the package cost increased to $275 but the favor price remained the same?

**Tip:** In word problems, breaking down costs and quantities step-by-step often helps in forming the correct equation!

Estelle is having her birthday party at Gold Frames Art Museum this year. A party package costs $265 and covers the entrance fee for guests, a private party room, and an activity guide. Estelle upgraded her package to include a favor for each of her 8 guests, bringing the total to $305. Which equation can you use to find f, the cost of each favor?

Learn how to find the cost of each favor at a birthday party with a linear equation. Estelle's birthday party costs $305 in total after adding favors for 8 guests. Suitable for Grades 6-8, this problem uses basic algebra to find the unknown cost per favor.

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