Ms. Chapman wants to take her scout troop to Neon Nights roller rink. The employee she spoke to ahead of time said the total cost for all 9 people in the group would be 81 $. This includes an entrance ticket and a 3 $ skate rental fee for each person. Which equation can you use to find t, the cost of each entrance ticket? Choices: (A)9(t + 3) = 81 (B)3(t + 9) = 81 (C)3t + 9 = 81 (D)9t + 3 = 81 How much does each entrance ticket cost? ____ $

Question

Ms. Chapman wants to take her scout troop to Neon Nights roller rink. The employee she spoke to ahead of time said the total cost for all 9 people in the group would be 81 $. This includes an entrance ticket and a 3 $ skate rental fee for each person. Which equation can you use to find t, the cost of each entrance ticket?   Choices: (A)9(t + 3) = 81 (B)3(t + 9) = 81 (C)3t + 9 = 81 (D)9t + 3 = 81  How much does each entrance ticket cost?   ____ $

Bytelearn · Accepted Answer

Identify Cost Components:  Identify the total cost and components of the cost for each person. Each person pays for an entrance ticket (t) and a skate rental fee of 3 $. The total cost for 9 people is 81 $. Set Up Equation:  Set up the equation to represent the total cost. The total cost for one person is the ticket price plus the skate rental, so for one person it's t + 3 $. For 9 people, it would be 9 times (t + 3 $), which gives the equation 9(t + 3) = 81. Solve for t:  Solve the equation for t. First, divide both sides of the equation by 9 to isolate the term with t: 9(t + 3) = 81 (t + 3) = 81 / 9 t + 3 = 9  Next, subtract 3 from both sides to solve for t: t + 3 - 3 = 9 - 3 t = 6

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