Question

The diagram shows the ratio of teeth on the larger and smaller gears of Nash's fishing reel. A tape diagram showing 6 parts labeled "larger gear" and 1 part labeled "smaller gear" Based on the ratio, how many teeth are on the smaller gear if there are 727272 teeth on the larger gear? teeth

Answer 1

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;

$6 : 1$

Let x represent the number of smaller gear, when there are 72 larger gears;

This can also be represented using the following ratio;

$72 : x$

Equate both ratios

$6 : 1 = 72 : x$

Convert the ratios to fraction

$\frac{6}{1} = \frac{72}{x}$

Multiply both sides by x

$x * \frac{6}{1} = \frac{72}{x} * x$

$x * 6 = 72$

Divide both sides by 6.

$\frac{x * 6}{6} = \frac{72}{6}$

$x = \frac{72}{6}$

$x = 12$

This implies that there are 12 teeth on the smaller gear