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Max had 69 tickets after playing a new game at the carnival. His goal was to win 100 tickets. He spent 24 tickets on a game and then won 12 more tickets at another booth.

How many tickets does Max have now?
analyze
plan and solve
justify and evaluate

1 answer

Analyze

Max starts with 69 tickets. His goal is to reach 100 tickets. He spends some of his tickets on a game and subsequently wins more tickets in a different game. We need to calculate his current total after these transactions.

Plan and Solve

  1. Starting Tickets:

    • Max initially has 69 tickets.

  2. Spent Tickets:

    • He spends 24 tickets on a game.
    • The calculation for tickets after spending is: \[ 69 - 24 = 45 \]
    • After spending 24 tickets, Max has 45 tickets remaining.

  3. Won Tickets:

    • Next, he wins 12 additional tickets at another booth.
    • The calculation for the new total of tickets is: \[ 45 + 12 = 57 \]
    • After winning 12 tickets, Max now has 57 tickets.

Justify and Evaluate

To justify our calculations, we can go through each step carefully:

  • Initial Tickets: 69
  • After Spending 24 Tickets:
    • 69 - 24 = 45 (this is correct)
  • After Winning 12 Tickets:
    • 45 + 12 = 57 (this is also correct)

The operations conducted (subtraction and addition) are straightforward, and each step follows the arithmetic rules correctly.

In conclusion, after spending 24 tickets and winning 12, Max has 57 tickets now. This total is well below his goal of 100 tickets, indicating that he still needs to earn more tickets to reach his goal.