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) (Don't use pictures)

Answer 1

To determine how far Triana will travel on each of the remaining three days, we can set up an equation.

Let \( x \) be the distance she will travel each of the next three days. Initially, she has already traveled 24 miles on the first day. The total distance for the entire trip is 120 miles. Therefore, we can express the total distance equation as follows:

\[ 24 + 3x = 120 \]

Here, \( p = 3 \), \( q = 24 \), and \( r = 120 \).

Now, we'll solve the equation for \( x \):

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

2. Divide both sides by 3 to solve for \( x \): \[ x = \frac{96}{3} \] \[ x = 32 \]

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

In summary, Triana will travel 32 miles on each of the next three days. This allows her to maintain a consistent distance and complete her 120-mile bike ride.

Answer 2

make it so the numbers aren't pictures

Answer 3

To determine how far Triana will travel on each of the remaining three days, we can set up an equation.

Let \( x \) be the distance she will travel each of the next three days. On the first day, she has already traveled 24 miles. The total distance for the entire trip is 120 miles. Therefore, we can express the total distance equation as follows:

24 + 3x = 120

Now, we'll solve the equation for \( x \):

1. Subtract 24 from both sides of the equation: 3x = 120 - 24 3x = 96

2. Divide both sides by 3 to solve for \( x \): x = 96 / 3 x = 32

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

In summary, Triana will travel 32 miles on each of the next three days. This way, she can maintain a consistent distance and complete her 120-mile bike ride.