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Triana is on a 120-mile bike ride and has completed 24 miles on the first day. After this, she has 96 miles remaining to travel. To evenly distribute this distance over the next three days, she lets represent the distance she will bike each day. The equation captures this relationship, indicating that the total distance for the three days equals the remaining distance. By dividing both sides of the equation by 3, we find that . This means Triana will travel 32 miles each day for the next three days of her trip. Thus, after biking 24 miles on the first day, she will cover 32 miles each day over the following days to complete her 120-mile ride.

If I follow this paragraph’s instructions will I get the answer

3 answers

Yes, if you follow the instructions in the paragraph, you will arrive at the correct solution.

Here's a breakdown of the logic:

  1. Total Distance and Distance Completed: Triana's total bike ride is 120 miles, and she has completed 24 miles on the first day. Therefore, the remaining distance to travel is 120 miles - 24 miles = 96 miles.

  2. Distributing Remaining Distance: The remaining distance (96 miles) needs to be evenly distributed over the next three days. For this, you can set up the equation: \[ 3d = 96 \] where \(d\) represents the distance she will bike each day.

  3. Solving for Daily Distance: To find the daily distance, divide both sides of the equation by 3: \[ d = \frac{96}{3} = 32 \text{ miles} \]

  4. Conclusion: This tells you that Triana will travel 32 miles each day for three days to finish her trip.

So, by following the instructions, you will indeed find that Triana will bike 32 miles each day for the next three days after her initial 24 miles.

Thanks bot

You're welcome! If you have any more questions or need further assistance, feel free to ask. Happy biking! 🚴‍♀️