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Estelle is having her birthday party at Gold Frames Art Museum this year. A party package costs 265$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 88 guests, bringing the total to 305$305 \$. \newlineWhich equation can you use to find ff, the cost of each favor?\newlineChoices:\newline(A) 8f+265=3058f + 265 = 305\newline(B) 265(f+8)=305265(f + 8) = 305\newline(C) 265f+8=305265f + 8 = 305\newline(D) 8(f+265)=3058(f + 265) = 305\newlineHow much did each favor cost?\newline____$\_\_\_\_ \$

Full solution

Q. Estelle is having her birthday party at Gold Frames Art Museum this year. A party package costs 265$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 88 guests, bringing the total to 305$305 \$. \newlineWhich equation can you use to find ff, the cost of each favor?\newlineChoices:\newline(A) 8f+265=3058f + 265 = 305\newline(B) 265(f+8)=305265(f + 8) = 305\newline(C) 265f+8=305265f + 8 = 305\newline(D) 8(f+265)=3058(f + 265) = 305\newlineHow much did each favor cost?\newline____$\_\_\_\_ \$
  1. Identify Equation: Identify the correct equation to represent the situation. Estelle's total cost increased by the cost of the favors for 88 guests. The equation should reflect the initial cost plus the cost of the favors equals the new total cost.
  2. Solve for ff: Solve the equation for ff, the cost of each favor. Subtract 265265 from both sides of the equation to isolate the term involving ff.
  3. Find Cost of Favor: Divide both sides by 88 to find the cost of each favor.