[tex]\bf \cfrac{5}{6}n=10\implies \cfrac{5n}{6}=10\implies \stackrel{\textit{cross-multiplying}}{5n=60}\implies n=\cfrac{60}{5}\implies n=12[/tex]
For this case we must clear the value of "n" from the given equation.
Sea[tex]\frac {5} {6} n = 10[/tex]
We multiply by 6 on both sides of the equation:
[tex]\frac {5 * 6} {6} n = 10 * 6\\\frac {30} {6} n = 60\\5n = 10 * 6\\5n = 60[/tex]
We divide between 5 on both sides of the equation:
[tex]\frac {5n} {5} = \frac {60} {5}\\n = 12[/tex]
Answer:
[tex]n = 12[/tex]
