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

. 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 can start by determining how many miles she has left to travel after the first day.

1. Calculate the remaining distance after the first day:

   Total distance = 120 miles
   Distance traveled on the first day = 24 miles
   Remaining distance = Total distance - Distance traveled on the first day
   Remaining distance = 120 miles - 24 miles = 96 miles

2. Set up the equation:

   Let \( x \) be the distance Triana travels each day for the remaining three days. Since she travels equal amounts over the remaining three days, the total distance for those three days can be represented by \( 3x \).

   We can set up the equation: \[ 3x = 96 \]

3. Solve the equation:

   To solve for \( x \), divide both sides by 3: \[ x = \frac{96}{3} = 32 \]

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

4. Conclusion in a sentence: Triana will travel 32 miles each day for the next three days to complete her 120-mile bike ride.