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 denote the distance Triana will travel on each of the remaining three days as x.
On the second day, she will travel x miles.
On the third day, she will also travel x miles.
On the fourth day, she will still travel x miles.
The total distance traveled on the four-day bike ride is given as 120 miles. Therefore, we can write the equation:
24 + x + x + x = 120.
Simplifying the equation, we have:
24 + 3x = 120.
To solve for x, we first subtract 24 from both sides:
3x = 96.
Then, divide both sides by 3:
x = 32.
Triana will travel 32 miles on each of the remaining three days.