Question

How do you solve the equation `n times 500=5000`?

Answer 1

`n=10`

Explanation:

We have the equation.

`nxx500=5000rArr500n=5000`

To solve for n, divide both sides by 500.

`(cancel(500) n)/cancel(500)=5000/500`

`rArrn=10" is the solution"`

Answer 2

n=10

Explanation:

`color(blue)("Using shortcut method")`

Move the 500 to the other side of the = and change it to divide

`n=5000/500`

`n=(cancel(5000)^10)/(cancel(500)^1) larr" canceling out"`

`n=10`

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`color(blue)("Using first principles method")`

Divide both sides by 500

`(nxx500)/500=5000/500`

But `10xx500=5000` so we have

`(nxx500)/500=(10xx500)/500`

This is the same as

`nxx500/500=10xx500/500`

But `500/500=1`

`nxx1=10xx1`

`n=10`