Question
144 people travel on a bus, including men and women. If the number of men divided by the number of women is 5, what is the number of men traveling on the bus?
Answers
GPT 3.5
Let the number of men be x, and the number of women be y.
We are given that x + y = 144.
Since the number of men divided by the number of women is 5, we can write the equation as x/y = 5.
Simplifying the equation, we have x = 5y.
Substituting this value into the first equation, we get 5y + y = 144.
Combining like terms, we have 6y = 144.
Dividing both sides of the equation by 6, we find y = 24.
Substituting this value back into the equation x = 5y, we have x = 5(24) = 120.
Therefore, there are 120 men traveling on the bus. Answer: \boxed{120}.
We are given that x + y = 144.
Since the number of men divided by the number of women is 5, we can write the equation as x/y = 5.
Simplifying the equation, we have x = 5y.
Substituting this value into the first equation, we get 5y + y = 144.
Combining like terms, we have 6y = 144.
Dividing both sides of the equation by 6, we find y = 24.
Substituting this value back into the equation x = 5y, we have x = 5(24) = 120.
Therefore, there are 120 men traveling on the bus. Answer: \boxed{120}.