Question

The diameter of a small gear is 16 cm. This is 2.5 cm more than 1/4 of the diameter of a larger gear. What is the diameter of the larger gear? (Round to the nearest centimeter)

Answer 1

Data:


`d = 16cm`

`d = 2.5* (1)/(4) D`

Solving:
Substitute


`d = 2.5* (1)/(4) D`

`16 = (2.5D)/(4)`

`16*4 = 2.5D`

`64 = 2.5D`

`2.5D = 64`

`D = (64)/(2.5)`

`\boxed{D=25.6cm}`

Answer 2

let 'x' represent the diameter of the larger gear

2.5 + (1/4)x = 16

x = 54 cm