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 represent the distance Triana will travel on each of the remaining three days as x.
Since she will travel equal amounts over the remaining three days, the total distance she will travel on those three days is 3x.
We know that the total distance of the bike ride is 120 miles, and on the first day she traveled 24 miles. Therefore, the equation representing the situation is: 24 + 3x = 120.
To solve for x, we can subtract 24 from both sides of the equation: 3x = 120 - 24.
Simplifying the equation, we have: 3x = 96.
Finally, we divide both sides of the equation by 3 to find the value of x: x = 96 / 3 = 32.
Therefore, Triana will travel 32 miles on each of the remaining three days.