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

To determine how far Triana will travel on each of the remaining three days, we can set up the equation based on the total miles she wants to travel and the miles she has already traveled.

Let \( x \) be the distance she will travel each day for the remaining three days.

On the first day, she travels 24 miles, and she wants to travel a total of 120 miles over four days. Therefore, the equation can be written as:

\[ 3x + 24 = 120 \]

Here, \( 3x \) represents the total distance traveled over the last three days.

Now, we will 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, Triana will travel 32 miles on each of the remaining three days.

In conclusion, Triana will ride 32 miles each on the second, third, and fourth days of her bike ride to complete a total of 120 miles.

Answer 2

can you do it again without pics?