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

Mar 19, 2016

$n = 4 p$

Explanation:

Given:$\text{ } \textcolor{b r o w n}{\frac{1}{2} n = 2 p}$

Need to have $n$ on its own. So if we can change $\frac{1}{2}$ into 1 then $1 \times n = n$. 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$\text{ } \textcolor{b l u e}{2}$

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

$\textcolor{b r o w n}{\text{ " color(blue)(2xx)1/2 n" "=" } \textcolor{b l u e}{2 \times} 2 p}$

But $2 \times \frac{1}{2} \text{ is the same as "2/2=1" }$so we have:

$1 \times n = 4 p$

$n = 4 p$

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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!