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

12 teeht

Explanation:

Answer 2

12 teeth

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

`(6)/(1) = (72)/(x)`

Multiply both sides by x

`x * (6)/(1) = (72)/(x) * x`

`x * 6 = 72`

Divide both sides by 6.

`(x * 6)/(6) = (72)/(6)`

`x = (72)/(6)`

`x = 12`

This implies that there are 12 teeth on the smaller gear