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? Choices: (A)265(f + 8) = 305 (B)8f + 265 = 305 (C)265f + 8 = 305 (D)8(f + 265) = 305 How much did each favor cost? ____ $

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?   Choices: (A)265(f + 8) = 305 (B)8f + 265 = 305 (C)265f + 8 = 305 (D)8(f + 265) = 305  How much did each favor cost?   ____ $

Bytelearn · Accepted Answer

Understand the problem: Understand the problem. Estelle's party package costs $265, and after adding favors for each of her 8 guests, the total cost is $305. We need to find the cost of each favor, represented by f.Set up the equation: Set up the equation. The cost of the party package plus the total cost of the favors equals the final cost. The total cost of the favors is the cost per favor times the number of guests (8). So the equation is: 8f + 265 = 305Solve the equation for f: Solve the equation for f. Subtract 265 from both sides of the equation to isolate the term with f: 8f + 265 - 265 = 305 - 265 8f = 40 Now, divide both sides by 8 to find f: f = 40 / 8 f = 5

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