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

To find out how far Triana will travel over the remaining three days, we can first determine how many miles she has left to travel after the first day.

The total distance of the bike ride is 120 miles, and she has already traveled 24 miles on the first day. Therefore, the distance remaining is:

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

Now, we want to evenly distribute this remaining distance over the three days. Let's denote the distance Triana will travel each of the remaining three days as \( x \).

The total distance for the three days can then be expressed as:

\[ x + x + x = 3x \]

We know this must equal the remaining distance of 96 miles. Therefore, we can set up the equation:

\[ 3x = 96 \]

Now, we can solve for \( x \):

1. Divide both sides by 3: \[ x = \frac{96}{3} \] \[ x = 32 \]

Now we have found that Triana will travel 32 miles each day for the remaining three days.

Final Sentence: Triana will travel 32 miles on each of the remaining three days of her bike ride.