Question

Question

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.(4 points)

Answer 1

Let's denote the distance Triana will travel each of the remaining three days as \( x \).

On the first day, she travels 24 miles, so after the first day, the total distance remaining is:

\[ 120 - 24 = 96 \text{ miles} \]

Now, she wants to divide these 96 miles equally over the remaining three days, which means she will travel \( x \) miles each day for those three days. Therefore, we can express this situation with the equation:

\[ 3x = 96 \]

To solve for \( x \), we will isolate \( x \) by dividing both sides of the equation by 3:

\[ x = \frac{96}{3} \] \[ x = 32 \]

Thus, Triana will travel 32 miles each of the remaining three days.

Explanation: Triana travels 32 miles on each of the last three days of her bike ride after covering 24 miles on the first day, totaling the planned 120 miles for the trip.