sat-dog

The correct answer is $.0625$. It's given that $\frac{4a}{b}=6.7$ and $\frac{a}{bn}=26.8$. The equation $\frac{4a}{b}=6.7$ can be rewritten as $\left(4\right)\left(\frac{a}{b}\right)=6.7$. Dividing both sides of this equation by $4$ yields $\frac{a}{b}=1.675$. The equation $\frac{a}{bn}=26.8$ can be rewritten as $\left(\frac{a}{b}\right)\left(\frac{1}{n}\right)=26.8$. Substituting $1.675$ for $\frac{a}{b}$ in this equation yields $\left(1.675\right)\left(\frac{1}{n}\right)=26.8$, or $\frac{1.675}{n}=26.8$. Multiplying both sides of this equation by $n$ yields $1.675=26.8n$. Dividing both sides of this equation by $26.8$ yields $n=0.0625$. Therefore, the value of $n$ is $0.0625$. Note that .0625, 0.062, 0.063, and 1/16 are examples of ways to enter a correct answer.