Question 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.

1 answer

Let x be the distance Triana travels on each of the three remaining days.
The total distance Triana travels over the remaining three days is 3x miles.
The total distance Triana travels over the four days is 24 + 3x miles.
Since the total distance Triana travels is 120 miles, we have the equation 24 + 3x = 120.
Subtracting 24 from both sides of the equation, we get 3x = 96.
Dividing both sides of the equation by 3, we get x = 32.
Therefore, Triana will travel 32 miles on each of the three remaining days.
Sentence to explain the answer: Triana will travel 32 miles on each of the three remaining days, making a total distance traveled of 120 miles over the four-day bike ride.