Question

There are 2.54 centimeters in inch. How many inches are there in 101.60 centimeters?

Answer 1

See a solution process below:

Explanation:

Let's call the number of inches we are looking for: `n`

We can then write and solve this problem as a relationship;

`n/(101.60"cm") = (1"in")/(2.54"cm")`

`color(red)(101.60)color(red)("cm") xx n/(101.60"cm") = color(red)(101.60)color(red)("cm") xx (1"in")/(2.54"cm")`

`cancel(color(red)(101.60)color(red)("cm")) xx n/color(ed)(cancel(color(black)(101.60"cm"))) = color(red)(101.60)cancel(color(red)("cm")) xx (1"in")/(2.54color(red)(cancel(color(black)("cm"))))`

`n = cancel(color(red)(101.60))40 xx (1"in")/color(red)(cancel(color(black)(2.54)))`

`n = 40 xx 1"in"`

`n = 40"in"`

There are 40 inches in 101.60 centimeters

Answer 2

`40` inches

Explanation:

`2.54cm=1`inch
`101.6cm=101.6/2.54` inches

`= 40` inches