i need help on ratios, gears and teeth.ex.

teeth on driving gear A-35
teeth on driving gear B-?
gear ratio-2 1/2 to 1
what is gear B, and how will i figure this out?

To find the number of teeth on gear B, we can use the gear ratio and the number of teeth on gear A.

The gear ratio of 2 1/2 to 1 means that for every 2 1/2 rotations of gear A, gear B will make 1 rotation.

Given that gear A has 35 teeth, we can set up a ratio equation to find the number of teeth on gear B.

Let's call the number of teeth on gear B "x".

The ratio of teeth on gear A to teeth on gear B is 2 1/2 to 1, which can be written as 5/2 to 1.

So we can set up the equation:

35 (teeth on gear A) / x (teeth on gear B) = 5/2

Cross multiplying, we get:

35 * 2 = x * 5

Simplifying further, we have:

70 = 5x

Now, to isolate x, divide both sides of the equation by 5:

70/5 = x

x = 14

Therefore, gear B has 14 teeth.