Question

The product of a number, k, and four is seven more than the quotient of the number and two-thirds. Write an equation to represent this situation.

Answer 1

The product of k and four is  4k.
The quotient of k  and two-thirds is
$\frac{k}{2/3} = \frac{3k}{2}$

Because 4k is seven more than the quotient of k and two-thirds, therefore
$4k = \frac{3k}{2}+7$

Answer:
The required equation is
$4k = \frac{3k}{2} +7$