Answer:
12 teeth
Step-by-step explanation:
The attachment of this question is missing; however, the question can be solved without the attachment
Given:
Larger Gear = 6
Smaller Gear = 1
Required
Number of Smaller Gear if there are 72 larger gears
When the number of larger gear is 6, smaller gears is 1;
This can be represented using the following ratio;
[tex]6 : 1[/tex]
Let x represent the number of smaller gear, when there are 72 larger gears;
This can also be represented using the following ratio;
[tex]72 : x[/tex]
Equate both ratios
[tex]6 : 1 = 72 : x[/tex]
Convert the ratios to fraction
[tex]\frac{6}{1} = \frac{72}{x}[/tex]
Multiply both sides by x
[tex]x * \frac{6}{1} = \frac{72}{x} * x[/tex]
[tex]x * 6 = 72[/tex]
Divide both sides by 6.
[tex]\frac{x * 6}{6} = \frac{72}{6}[/tex]
[tex]x = \frac{72}{6}[/tex]
[tex]x = 12[/tex]
This implies that there are 12 teeth on the smaller gear
