It costs 4 tokens to park in a garage for an hour. How many hours can you park with 20 tokens?
The correct answer and explanation is:
Correct Answer:
You can park for 5 hours with 20 tokens.
Explanation (300 Words):
To solve this problem, we need to understand the relationship between the number of tokens and the number of hours you can park in the garage.
We are told that it costs 4 tokens to park for 1 hour. This means that every single hour of parking takes away 4 tokens from your total. If you have 20 tokens, you want to figure out how many groups of 4 tokens you can take out of 20—because each group of 4 tokens gives you 1 hour of parking.
This is a simple division problem: Number of hours=Total tokensTokens per hour=204=5\text{Number of hours} = \frac{\text{Total tokens}}{\text{Tokens per hour}} = \frac{20}{4} = 5
So, 20 tokens divided by 4 tokens per hour equals 5 hours.
Let’s also understand this conceptually. Imagine you are using up 4 tokens every hour. After 1 hour, you’ve used 4 tokens, and you have 16 left. After 2 hours, you’ve used 8 tokens, and you have 12 left. After 3 hours, you’ve used 12 tokens, with 8 left. After 4 hours, you’ve used 16 tokens, with 4 left. Finally, after 5 hours, you’ve used all 20 tokens.
At that point, you have no tokens left, and you can’t park any longer.
This type of problem is a real-world application of division, where you’re dividing a total resource (in this case, tokens) by a fixed rate of use (tokens per hour). It helps in planning and resource management.
So, the final answer is 5 hours—you can park for 5 full hours using 20 tokens if it costs 4 tokens per hour.