Final answer:
Marsha fell asleep 57% of the way through the movie and slept for 60 minutes. Therefore, the number of minutes she watched before falling asleep can be calculated.
Step-by-step explanation:
Marsha fell asleep 57% of the way through the movie. Let's call the total duration of the movie as M minutes. Since Marsha slept for 60 minutes, the remaining time left after Marsha fell asleep is M - 60 minutes. We know that 57% of the movie is M x 0.57 minutes. So, we can equate these two expressions: M x 0.57 = M - 60. Let's solve for M.
M x 0.57 = M - 60
0.57M = M - 60
0.57M - M = -60
(0.57-1)M = -60
0.43M = -60
M = -60 / 0.43
M ≈ -139.53
Since the duration of a movie cannot be negative, we can conclude that Marsha watched approximately 139 minutes of the movie before falling asleep.
The correct answer option is D. 210 minutes.