The Diagram shows the ratio of teeth on the larger and smaller gears of Nash's fishing reel. Based on the ratio, how many teeth are on the smaller gear if there are 72 teeth on the larger gear?

The Diagram shows the ratio of teeth on the larger and smaller gears of Nashs fishing reel Based on the ratio how many teeth are on the smaller gear if there ar class=

Respuesta :

The correct answer is 12 teeth

Explanation:

The ratio represented by the diagram is 6:1 or 6/1, this means, for each 6 teeth in the larger gears there is only 1 in the smaller gear. Now, to find the number of teeth if the larger gear is 72 the best is to use cross multiplication. The process is shown below:

1. Write the known values, and use x to represent the value missing

[tex]\frac{6}{1} = \frac{72}{x}[/tex]

2. Use cross multiplication, and then division to find x

[tex]6x =72[/tex]

[tex]x =\frac{72}{6}[/tex]

3. Solve the operation

[tex]x = 12[/tex]

Answer:

12 Teeth

Step-by-step explanation:

I did it on Khan academy and got it right!!

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