Question
Ella's family took a road trip to Niagara Falls. Ella slept through the last 14% of the trip. If Ella fell asleep after they had travelled 602 miles, what was the total length of the trip?
Answers
GPT-4o mini
Let the total length of the trip be denoted as \( x \) miles. According to the problem, Ella slept through the last 14% of the trip. This means that the remaining distance she was awake for is \( 100\% - 14\% = 86\% \) of the total trip.
We can express the distance she was awake for the trip as:
\[
0.86x
\]
Since Ella fell asleep after they had already traveled 602 miles, we can set up the equation:
\[
602 = 0.86x
\]
To find \( x \), we can rearrange the equation:
\[
x = \frac{602}{0.86}
\]
Now, we can calculate the value:
\[
x \approx 700
\]
Thus, the total length of the trip was approximately \( \boxed{700} \) miles.
We can express the distance she was awake for the trip as:
\[
0.86x
\]
Since Ella fell asleep after they had already traveled 602 miles, we can set up the equation:
\[
602 = 0.86x
\]
To find \( x \), we can rearrange the equation:
\[
x = \frac{602}{0.86}
\]
Now, we can calculate the value:
\[
x \approx 700
\]
Thus, the total length of the trip was approximately \( \boxed{700} \) miles.