Question

How do you rewrite this equation in terms of `n : A= 60+ \frac { 11n } { 100}`?

Answer 1

See the entire solution process below:

Explanation:

Step 1) Subtract `color(red)(60)` from each side of the equation to isolate the `n` term while keeping the equation balanced:

`A - color(red)(60) = 60 + (11n)/100 - color(red)(60)`

`A - 60 = 60 - color(red)(60) + (11n)/100`

`A - 60 = 0 + (11n)/100`

`A - 60 = (11n)/100`

Step 2) Multiply each side of the equation by `color(red)(100)/color(blue)(11)` to solve for `n` while keeping the equation balanced:

`color(red)(100)/color(blue)(11)(A - 60) = color(red)(100)/color(blue)(11) xx (11n)/100`

`(color(red)(100)(A - 60))/color(blue)(11) = cancel(color(red)(100))/cancel(color(blue)(11)) xx (color(blue)(cancel(color(black)(11)))n)/color(red)(cancel(color(black)(100))`

`(100(A - 60))/11 = n`

`n = (100(A - 60))/11`

Or

`n = (100A - 6000)/11`