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. (make it like a 7th grader wrote it)

2 answers

To find out how far Triana will travel on each of the remaining three days, we first need to find out how many miles she has left to travel after the first day.

She started with 120 miles and traveled 24 miles on the first day:

Remaining miles = Total miles - Miles traveled on the first day

So, the remaining miles are:

Remaining miles = 120 - 24 = 96 miles

Now, she wants to travel equal amounts over the next three days. We can let \( x \) represent the distance she travels each day. Since she rides for three days, we can set up the equation:

\[ 3x = 96 \]

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

  1. Divide both sides by 3:

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

  1. Calculate the division:

\[ x = 32 \]

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

In conclusion, Triana will ride 32 miles each day for the next three days because she has 96 miles left to travel, and if she spreads it out evenly over the three days, she will go 32 miles each day.

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