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

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

Bytelearn · Accepted Answer

Identify Cost Components:  Identify the total cost and the components of the cost. Each person pays for an entrance ticket (t) and a skate rental fee of $3. The total group is 9 people. The total cost is $81. Set Up Equation:  Set up the equation based on the total cost. The cost for each person is the ticket price plus the skate rental fee, so for 9 people, the equation is 9(t + 3) = 81. Solve for t:  Solve the equation for t. Divide both sides by 9 to isolate the term with t: (t + 3) = 81 / 9, which simplifies to (t + 3) = 9. Subtract to Find t:  Subtract 3 from both sides to find the value of t. t + 3 - 3 = 9 - 3, so t = 6.

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