riana 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.

Answer 1

Let x represent the distance Riana travels on each of the remaining three days. The total distance traveled on those three days is 3x. The equation to represent this is 24 + 3x = 120.

To solve for x, we need to isolate the variable. We can start by subtracting 24 from both sides of the equation, giving us 3x = 120 - 24.

Simplifying the right side of the equation, we have 3x = 96.

Next, we divide both sides of the equation by 3 to solve for x: x = 96/3.

Simplifying the right side of the equation, we have x = 32.

Therefore, Riana will travel 32 miles on each of the remaining three days.

Explanation:
By setting up the equation 24 + 3x = 120, we can add up the distance traveled on the first day (24 miles) with the distance traveled on the remaining three days (3x). The equation allows us to find the value of x, representing the distance traveled on each of the remaining three days. By solving the equation, we find that x = 32, which tells us that Riana will travel 32 miles on each of the three remaining days.