A bicylcle shop designs a new gear system for their bikes. They use a 4-inch gear for the bikes with a 22-inch wheel diameter. If the ratio of the gear to wheel diameter remains constant, what is the size of the gear for a bike with a 26-inch wheel?

Question

Carlie Wilkerson

Mathematics

17 May, 15:56

A bicylcle shop designs a new gear system for their bikes. They use a 4-inch gear for the bikes with a 22-inch wheel diameter. If the ratio of the gear to wheel diameter remains constant, what is the size of the gear for a bike with a 26-inch wheel?

+1

Answers (1)

Know the Answer?

Chaz Rowland · Answer 1

8

4 - -

11

Step-by-step explanation:

The gear ratio for the original gear system was 4/22. To get the 22 inch wheel to 26 inches, you have to multiply it by 26/22, so to keep the same ratio, you will also need to multiply 4 by 26/22. You get 104/22, which simplifies to 52/11 which simplified further to 4+8/11. You can check your answer by comparing the original ratio to the new ratio.