Question

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? 265f + 8 = 305; 8(f + 265) = 305; 8f + 265 = 305; 265(f + 8) = 305. how much did each favor cost? $

Explanation:

First Sub - Question (Equation to find \( f \))

The base cost of the party package is $265. There are 8 guests, and each favor costs LXI0, so the total cost of the favors is LXI1. The total cost (base package + cost of favors) is $305. So the equation should be \( 8f + 265=305 \).

Step 1: Start with the equation

We have the equation \( 8f+265 = 305 \). First, subtract 265 from both sides to isolate the term with \( f \).
\( 8f+265 - 265=305 - 265 \)
\( 8f = 40 \)

Step 2: Solve for \( f \)

Divide both sides of the equation \( 8f = 40 \) by 8.
\( f=\frac{40}{8} \)
\( f = 5 \)

Answer:

\( 8f + 265 = 305 \)

Second Sub - Question (Cost of each favor)