Question

What is the equation that expresses one-half of a certain number `n` is 95?

Answer 1

`95=1/2n larr" equation"`

For this to work the actual value of `n` is `190`

Explanation:

`color(green)("Solved by thinking it out")`

Given that:`" "95=1/2n`

If half a number is 95 then the number must be two lots of 95.

That is: `95+95 = 190`

,~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`color(green)("Solved by using algebra")`

Given that:`" "95=1/2n`

Determine the value of `n`

Multiply both sides by `color(blue)(2)`

`color(brown)(color(blue)(2xx)95 =color(blue)(2xx)1/2xxn)`

`color(brown)(color(blue)2xx95 =(color(blue)(2))/2xxn)`

But `2/2=1` giving:

`190=1xxn`

`=> n=190`