Question
On a flight on a commercial airplane, two-fifths of the passengers get off on the first stop, five-sixths of those remaining get off on the second stop, only twelve passengers arriving at the end of the trip. If no passengers boarded on each stop. How many people started the trip?
141
likes706 views
Answer to a math question On a flight on a commercial airplane, two-fifths of the passengers get off on the first stop, five-sixths of those remaining get off on the second stop, only twelve passengers arriving at the end of the trip. If no passengers boarded on each stop. How many people started the trip?
Gene
4.5108 Answers
1. Let \( x \) be the total number of passengers who started the trip.
\text{Passenger number after first stop} = \frac{3}{5}x
2. Number of passengers remaining after the second stop:
\frac{1}{6} \times \frac{3}{5}x = 12
3. Simplify the equation:
\frac{3}{30} x = 12
\frac{1}{10} x = 12
4. Solve for \( x \):
x = 12 \times 10
x = 120
The total number of passengers who started the trip is:
120
2. Number of passengers remaining after the second stop:
3. Simplify the equation:
4. Solve for \( x \):
The total number of passengers who started the trip is:
Frequently asked questions (FAQs)
Convert 7.3 x 10^5 to standard form.
+
What is the sum of 56, 89, and 123?
+
What is the period of the tangent function f(x) = tan(x)? Is it possible for the tangent function to have a value greater than 1?
+
New questions in Mathematics