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.

Question

hows this?
3x + 24= 120
x = 32
Triana will travel 32 miles for each day.

Answer 1

Your setup is mostly correct, but let's clarify it step by step.

We want to find out how far Triana will travel each day over the remaining three days after the first day.

1. Let \( x \) represent the distance she travels each of the remaining three days.
2. On the first day, she travels 24 miles, and over the next three days she will travel \( 3x \).

The total distance of the ride is 120 miles, so we can set up the equation:

\[ 3x + 24 = 120 \]

Now, solving for \( x \):

1. Subtract 24 from both sides:

\[ 3x = 120 - 24 \]

\[ 3x = 96 \]

2. Divide by 3:

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

\[ x = 32 \]

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

In conclusion: Triana will travel 32 miles each day for the remaining three days of her bike ride.

Answer 2

what about the sentence

Answer 3

Here's a suitable sentence to explain your answer:

"Triana will travel 32 miles each day for the remaining three days of her bike ride after completing 24 miles on the first day, allowing her to reach her goal of 120 miles."

Answer 4

3x + 24= 120 3x + 24= 120
-24 -24---------------------- 0 9696÷3 = 32x = 32
Triana will travel 32 miles for each day until reaching 120 miles.

Answer 5

Your equation and calculations are correct, but the explanation can be clarified a bit. Here's a revised version:

1. Equation:
   \( 3x + 24 = 120 \)
   (This is set up correctly, where \( x \) represents the distance traveled each day over the remaining three days.)

2. Solving the Equation:

   • Subtract 24 from both sides:
     \( 3x = 120 - 24 \)
     \( 3x = 96 \)
   • Divide by 3:
     \( x = \frac{96}{3} \)
     \( x = 32 \)

3. Explanation Sentence:
   "Triana will travel 32 miles each day for the next three days to reach a total of 120 miles after completing 24 miles on the first day."

This version clearly follows the steps and concludes with a well-structured explanation.

Answer 6

3x + 24= 120 3x + 24= 120
-24 -24
----------------------
0 96

96÷3 = 32

x = 32

Triana will travel 32 miles for each day until reaching 120 miles.

Answer 7

Your math and logic are correct, and you've clearly shown the steps for solving the equation! Here’s a clean summary including your calculations along with a polished explanation:

1. Equation Setup:
   \( 3x + 24 = 120 \)

2. Solving the Equation:

   • Subtract 24 from both sides: \[ 3x + 24 - 24 = 120 - 24 \] \[ 3x = 96 \]

   • Divide by 3: \[ x = \frac{96}{3} \] \[ x = 32 \]

3. Conclusion:
   "Triana will travel 32 miles each day for the next three days to complete a total of 120 miles after traveling 24 miles on the first day."

This structure clearly outlines your work and provides a complete explanation of your solution. Great job!