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

Bytelearn · Accepted Answer

Understand the problem: Understand the problem. Estelle's party package costs $265 without favors. With favors for 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 total cost. The total cost of the favors is the cost per favor times the number of favors (8). So the equation is: Cost of package + (Cost per favor × Number of favors) = Total cost 265 + (f × 8) = 305Identify the correct equation: Identify the correct equation from the choices. Looking at the choices given, we need to find the one that matches the equation we set up in Step 2. The correct equation is: (D) 8f + 265 = 305Solve 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 solve for f. f = 40 / 8 f = 5

Full solution

More problems from Solve two-step equations: word problems

Related topics