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 . Then write a sentence to explain your answer (make it simple and make it like a 7th grader wrote it)

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.

First, we know the total distance of the bike ride is 120 miles, and the distance traveled on the first day is 24 miles. So we can calculate the remaining distance:

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

Now, Triana wants to travel the same distance each day over the next three days. Let's call the distance she travels each day \( x \).

Since there are three days left, we can set up the equation:

\[ 3x = 96 \]

This equation means that Triana will travel three times the distance \( x \) over the remaining three days, and that should equal the 96 miles left.

Now, we can solve for \( x \):

1. Divide both sides of the equation by 3: \[ x = \frac{96}{3} \] \[ x = 32 \]

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

Sentence to explain the answer: Triana will ride 32 miles each day for the next three days because that will help her finish the 120-mile bike ride after the 24 miles she already rode the first day.