Triana is on a 120-mile four-day bike ride. On the first day she travels 24 miles. She would like to travel equal amounts over the remaining three days. How far will she travel on each of those three days? Write and solve an equation of the form px+q=r

Question

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. Then write a sentence to explain your answer.(4 points)

Answer 1

To find out how far Triana will travel on each of the remaining three days, we start by letting \( x \) represent the distance she will travel each day for those three days.

1. Total distance for the four days:

   • Total distance = 120 miles
   • Distance traveled on the first day = 24 miles
   • Remaining distance for the next three days = \( 120 - 24 = 96 \) miles

2. Equal distance per day for the remaining three days:

   • Since she will travel an equal amount for the next three days, the total distance for these days will be \( 3x \).
   • We can then set up our equation based on the remaining distance:

   \[ 3x = 96 \]

3. Now we'll solve for \( x \):

   • To isolate \( x \), divide both sides by 3:

   \[ x = \frac{96}{3} = 32 \]

Thus, Triana will travel 32 miles on each of the remaining three days.

4. Final explanation sentence: Triana will travel 32 miles each day for the next three days to complete her 120-mile bike ride, having already traveled 24 miles on the first day.

Answer 2

write how you show your work in a sentance

Answer 3

To determine how far Triana should travel on each of the remaining three days, I first calculated the total distance left after her first day (120 - 24 = 96 miles), then set up the equation \(3x = 96\) to represent the equal distance she would travel each day, and finally solved for \(x\) by dividing both sides by 3, resulting in \(x = 32\) miles.