SOLUTION: The gear ratio between two gears is 4.5:1. If the longer gear has 64 teeth,how many teeth does the smaller gear has?

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Question 1004816: The gear ratio between two gears is 4.5:1. If the longer gear has 64 teeth,how many teeth does the smaller gear has?
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
4.5:1 = 64:x

4.5%2F1%22%22=%22%2264%2Fx

expr%282%2F2%29%22%22%2A%22%224.5%2F1%22%22=%22%2264%2Fx

9%2F2%22%22=%22%2264%2Fx

9x%22%22=%22%22128

x%22%22=%22%22128%2F9

x%22%22=%22%2214%262%2F9

But no gear can have a fraction for its 
number of teeth.  So the problem is
botched or it wasn't copied correctly.

If it were the smaller gear that has
64 teeth, then the problem would have
a solution:

4.5:1 = 64:x

4.5%2F1%22%22=%22%22x%2F64

expr%282%2F2%29%2Aexpr%284.5%2F1%29%22%22=%22%22x%2F64

9%2F2%22%22=%22%22x%2F64

2x%22%22=%22%22576

x%22%22=%22%22576%2F2

x%22%22=%22%22288

The larger (not "longer") gear would have 288 teeth.

Edwin