Ling and her friends are planning a trip to the Misty Falls water park. The employee Ling spoke to on the phone said the total cost for all 4 of them would be 76 $. This includes an entrance ticket and a 6 $ tube rental fee for each person. Which equation can you use to find c, the cost of an entrance ticket? Choices: (A)6c + 4 = 76 (B)6(c + 4) = 76 (C)4(c + 6) = 76 (D)4c + 6 = 76

Question

Ling and her friends are planning a trip to the Misty Falls water park. The employee Ling spoke to on the phone said the total cost for all 4 of them would be 76 $. This includes an entrance ticket and a 6 $ tube rental fee for each person. Which equation can you use to find c, the cost of an entrance ticket?   Choices: (A)6c + 4 = 76 (B)6(c + 4) = 76 (C)4(c + 6) = 76 (D)4c + 6 = 76

Bytelearn · Accepted Answer

Identify Cost Components:  Identify the total cost and the components of the cost. Each person pays for an entrance ticket (c) and a tube rental fee of $6. The total cost for 4 people is $76. Set Up Equation:  Set up the equation to represent the total cost. The total cost is made up of the entrance ticket cost for each person plus the tube rental fee for each person. For 4 people, this is 4 times the sum of the entrance ticket cost and the tube rental fee: 4(c + 6) = 76. Check Equation Choices:  Check the equation choices to match the setup. The correct equation that represents the situation is 4(c + 6) = 76, which matches choice (C).

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