a factory produces 6 motorcycles in 9 hours write a proportion and solve it to find how many hours it takes to produce 16 motorcycles. help me please!
6/9 = 16/x
Cross multiply and solve for x.
24 hours
21
To set up a proportion, we need to establish the relationship between the number of motorcycles produced and the time it takes to produce them.
Let's assume that the factory's production rate is constant, meaning it produces motorcycles at the same rate in every given hour.
According to the information given, the factory produces 6 motorcycles in 9 hours. We can write this as a fraction:
6 motorcycles / 9 hours
To find how many hours it takes to produce 16 motorcycles, we'll set up a proportion. Let x represent the number of hours:
6 motorcycles / 9 hours = 16 motorcycles / x hours
To solve this proportion, we can use cross multiplication. Cross multiplying means multiplying the numerator of one fraction with the denominator of the other fraction:
6 motorcycles * x hours = 9 hours * 16 motorcycles
Now we can simplify and solve for x:
6x = 144
To isolate x, divide both sides of the equation by 6:
x = 144 / 6
Simplifying further, we get:
x = 24
So, it will take 24 hours to produce 16 motorcycles.