To solve this problem, we can break it down into a series of steps to find out how many tickets Lily spent on face painting. We will analyze the given information, plan how to approach the problem, and then solve and justify our findings.
Analysis
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Total Tickets Won by Lily:
- Tickets from ring toss: 28
- Tickets from corn hole: 13
- Tickets from balloon pop: 19
We can find the total tickets Lily won by adding these amounts together.
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Current Tickets:
- After spending some on face painting, Lily has 45 tickets left.
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Tickets Spent on Face Painting:
- We need to find out how many tickets Lily spent. This can be determined by finding the difference between the total tickets she won and the tickets she has after spending some.
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Sister’s Tickets: This part of the problem distracts since it doesn't influence the calculation of tickets Lily spent.
Plan
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Calculate the total tickets won by Lily:
\( \text{Total Tickets} = 28 + 13 + 19 \) -
Subtract the remaining tickets (45) from the total tickets to find out how many were spent: \( \text{Tickets Spent} = \text{Total Tickets} - 45 \)
Solving
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Total Tickets Calculation: \[ \text{Total Tickets} = 28 + 13 + 19 = 60 \]
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Calculating Tickets Spent: \[ \text{Tickets Spent} = 60 - 45 = 15 \]
Justification and Evaluation
Lily won a total of 60 tickets from different games and has 45 tickets left after spending some on face painting. Thus, she must have spent \( 15 \) tickets on face painting. This calculation is valid as it follows a straightforward subtraction of the remaining tickets from the total tickets won.
Conclusion
Lily spent 15 tickets on face painting. This solution process utilizes basic arithmetic and logical reasoning, confirming that the steps taken to arrive at the answer are accurate and justified.