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 from px+q=r. then write a sentence to explain your answer
Let's assume Triana travels d miles on each of the remaining three days.
The equation to represent the total distance traveled on the remaining three days is 3d.
We know that the total distance of the four-day bike ride is 120 miles, so we can write the equation as: 24 + 3d = 120.
To solve this equation, we need to isolate the variable d.
Subtracting 24 from both sides of the equation, we have: 3d = 120 - 24.
Simplifying, we get: 3d = 96.
To isolate the variable d, we need to divide both sides of the equation by 3: d = 96/3.
Simplifying, we find that d = 32.
Therefore, Triana will travel 32 miles on each of the remaining three days.
Sentence explanation: Triana will travel 32 miles on each of the remaining three days to cover the total distance of 96 miles, after having traveled 24 miles on the first day of her four-day bike ride.