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?
How much did each favor cost?

To find the cost of each favor, we can set up an equation based on the total cost Estelle paid for the party.

### Step 1: Set up the equation
The original party package costs $265. The additional $305 - $265 = $40 comes from the cost of 8 favors. Let $ f $ represent the cost of each favor.

The total cost of the favors is $ 8f $, and we know this equals $40. So, the equation to find $ f $ is:

\[
8f = 40
\]

### Step 2: Solve for $ f $
Now, divide both sides of the equation by 8 to find $ f $:

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

So, the cost of each favor is **$5**.

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Would you like more details or have any questions?

Here are 5 related questions:
1. What if Estelle had 12 guests? How would the equation change?
2. What if the cost of the party package increased by $50? How would the total cost change?
3. How would the equation change if each favor had a different cost?
4. What is the total cost if Estelle had no guests but still got the party package?
5. What if Estelle chose to remove the favor option? What would her total cost be?

**Tip:** Always verify that the information in your equation correctly matches the problem's details to avoid miscalculations.

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? How much did each favor cost?

Learn how to solve for the cost of each favor at Estelle's birthday party at Gold Frames Art Museum. This problem involves setting up a linear equation, understanding the total cost breakdown, and finding the cost per favor. Ideal for students in Grades 5-7.

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