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.
Let's assume that Triana travels the same distance, x, on each of the remaining three days.
The total distance she needs to cover in those three days is 120 - 24 = <<120-24=96>>96 miles.
So we can write the equation as: 3x = 96.
To solve for x, we divide both sides of the equation by 3:
3x/3 = 96/3
x = 32.
Therefore, Triana will travel 32 miles on each of the remaining three days.
This equation shows that 3 multiplied by the distance she travels each day, x, is equal to 96 because the total distance she needs to cover is 96 miles.