A factory produces bicycles 6 motorcycles in 9 hours. Write a proportion and solve it to find how many hours it takes to produce 16 motorcycles

6/9 = 16/x

To solve this problem, we need to set up a proportion using the information given. Let's set up the proportion:

6 motorcycles / 9 hours = 16 motorcycles / x hours

In this proportion, the numerator represents the number of motorcycles, and the denominator represents the number of hours.

To solve for x, we can cross multiply and then solve for x:

6 motorcycles * x hours = 9 hours * 16 motorcycles

6x = 144

Now, we can solve for x by dividing both sides of the equation by 6:

x = 144 / 6

x = 24

Therefore, it takes 24 hours to produce 16 motorcycles in the factory.