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

Question

. Then write a sentence to explain your answer.(4 points)

Answer 1

Let \( x \) be the distance Triana will travel each of the remaining three days.

On the first day, she traveled 24 miles. Therefore, the total distance she will travel over the next three days can be represented as \( 3x \). The total distance of her bike ride is 120 miles. We can set up the equation based on this information:

\[ 24 + 3x = 120 \]

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

1. Subtract 24 from both sides: \[ 3x = 120 - 24 \] \[ 3x = 96 \]

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

Thus, \( x = 32 \). This means Triana will travel 32 miles each day for the remaining three days.

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