Mrs. Jones is taking her family to Penguin Zone ice rink. The employee she spoke to on the phone said the total cost for all 6 of them would be 72 $. This includes the entrance ticket and the 4 $ skate rental fee for each person. Which equation can you use to find c, the cost of an entrance ticket? Choices: (A)4c + 6 = 72 (B)6(c + 4) = 72 (C)6c + 4 = 72 (D)4(c + 6) = 72

Question

Mrs. Jones is taking her family to Penguin Zone ice rink. The employee she spoke to on the phone said the total cost for all 6 of them would be 72 $. This includes the entrance ticket and the 4 $ skate rental fee for each person. Which equation can you use to find c, the cost of an entrance ticket?   Choices: (A)4c + 6 = 72 (B)6(c + 4) = 72 (C)6c + 4 = 72 (D)4(c + 6) = 72

Bytelearn · Accepted Answer

Identify Cost Components: Identify the total cost and the components of the cost. The total cost for 6 people is 72 dollars. This includes the entrance ticket, c, for each person and a skate rental fee of 4 dollars per person. Set Up Equation: Set up the equation to represent the total cost. Each person pays for their entrance ticket and a skate rental fee. So, the cost per person is c (entrance ticket) + 4 dollars (skate rental). For 6 people, the equation is 6(c + 4) = 72. Check Equation Choices: Check the equation choices given. We need to find which equation matches our setup. The correct equation must account for both the ticket price and the skate rental for each of the 6 people: (A) 4c + 6 = 72 (This doesn't make sense, wrong structure) (B) 6(c + 4) = 72 (This matches our setup) (C) 6c + 4 = 72 (Incorrect, adds 4 only once, not per person) (D) 4(c + 6) = 72 (Incorrect, multiplies by 4, not 6)

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