## Elementary Algebra

$n=10$
Using cross-multiplication and the properties of equality, the value of the variable that satisfies the given equation, $\dfrac{5}{12}=\dfrac{n}{24} ,$ is \begin{array}{l}\require{cancel} 5(24)=12(n) \\\\ 120=12n \\\\ \dfrac{120}{12}=n \\\\ 10=n \\\\ n=10 .\end{array}