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) 265f+8=305(B) 265(f+8)=305(C) 8f+265=305(D) 8(f+265)=305How much did each favor cost?____ $
Q. 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) 265f+8=305(B) 265(f+8)=305(C) 8f+265=305(D) 8(f+265)=305How much did each favor cost?____ $
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 favors is the difference between the total cost and the base cost of the package. The base cost is $265, and the total cost with favors is $305. The number of favors is 8, so the equation to find the cost of each favor is 8f+265=305.
Choose the correct equation: Choose the correct equation from the given choices.The correct equation that represents the situation is (C)8f+265=305.
Solve for f: Solve the equation for f.Subtract 265 from both sides of the equation to isolate the term with f.8f+265−265=305−2658f=40
Divide to find f: Divide both sides by 8 to find the value of f. f=840 f=5
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