Question

6 more than the quotient of a number and five is eight use the variable B for the unknown number

Answer 1

Let B the unknown number.

The quotient of this number and five can be express as:

$\frac{B}{5}$

Six more than the quotient of a number and five can be express as:

$\frac{B}{5}+6$

Finally we know that this is equal to eight, then we have the equation:

$\frac{B}{5}+6=8$

Solving for B we have that:

$\begin{gathered} \frac{B}{5}+6=8 \\ \frac{B}{5}=8-6 \\ \frac{B}{5}=2 \\ B=5\cdot2 \\ B=10 \end{gathered}$

Therefore the unknown number is 10