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)3(t + 9) = 81 (B)9(t + 3) = 81 (C)9t + 3 = 81 (D)3t + 9 = 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)3(t + 9) = 81 (B)9(t + 3) = 81 (C)9t + 3 = 81 (D)3t + 9 = 81  How much does each entrance ticket cost?   ____ $

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Understand the problem: Understand the problem. Ms. Chapman's total cost for 9 people is $81. This includes the entrance ticket and a $3 skate rental fee for each person. We need to find the cost of each entrance ticket, represented by t.Set up the equation: Set up the equation. The total cost is made up of two parts: the cost of the entrance ticket (t) for each person and the skate rental fee, which is $3 for each person. Since there are 9 people, the equation should reflect the sum of 9 entrance tickets and 9 skate rental fees equaling $81.Translate the problem into an equation: Translate the problem into an equation. The cost of the entrance ticket for each person is t, and the skate rental fee is $3. For 9 people, the total cost for entrance tickets is 9t, and the total cost for skate rentals is 9 * $3, which is $27. The sum of these two amounts is $81. So the equation is 9t + 27 = 81.Identify the correct equation: Identify the correct equation from the choices. Looking at the choices given, we need to find the one that matches our equation from Step 3. The correct equation is: (B) 9(t + 3) = 81 This is because when you distribute the 9, you get 9t + 27, which matches our equation.Solve the equation for t: Solve the equation for t. We have the equation 9(t + 3) = 81. To solve for t, we first divide both sides by 9 to isolate the term with t. 9(t + 3) / 9 = 81 / 9 t + 3 = 9 Next, we subtract 3 from both sides to solve for t. t + 3 - 3 = 9 - 3 t = 6

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