Question

How do you solve for n in `1/2n = 2p`?

Answer 1

`n=4p`

Explanation:

Given:`" "color(brown)(1/2n=2p)`

Need to have `n` on its own. So if we can change `1/2` into 1 then `1xxn=n`. As long as we obey the rule that; "what we do to one side of the = we do the same thing to the other side"; we will be fine.

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

`color(brown)(1/2n=2p` becomes

`color(brown)(" " color(blue)(2xx)1/2 n" "=" "color(blue)(2xx)2p)`

But `2xx1/2" is the same as "2/2=1" "`so we have:

`1xxn=4p`

`n=4p`

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With a bit of practice this type of question can be done totally in the head. Keep at it and you will get there!