Question

mavs family took a road trip to the grand canyon. mav fell asleep 36% of the way through the trip. if mav fell asleep after they had travelled 216 miles, what was the total length of the trip?

Explanation:

Step1: Define the variable

Let \( x \) be the total length of the trip (in miles).

Step2: Set up the equation

We know that 36% of the total trip length is equal to the distance Mav traveled before falling asleep (216 miles). Mathematically, this can be written as:
\( 0.36x = 216 \) (since 36% is equivalent to 0.36 in decimal form)

Step3: Solve for \( x \)

To find \( x \), we divide both sides of the equation by 0.36:
\( x=\frac{216}{0.36} \)
Calculating the right - hand side, \( \frac{216}{0.36} = 600 \)

Answer:

The total length of the trip is 600 miles.