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15 November, 21:21

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?

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  1. 15 November, 22:34
    0
    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.
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