Question

the amount of rent paid by a mechanic is $\frac{2}{5}$ of the mechanics monthly income. using the figure below, determine the mechanics monthly income (in dollars). (simplify your answer completely.)

Explanation:

Step1: Set up an equation

Let the mechanic's monthly income be $x$. We know that $\frac{2}{5}x = 1800$.

Step2: Solve for $x$

Multiply both sides of the equation by $\frac{5}{2}$, so $x=1800\times\frac{5}{2}$.
$1800\times\frac{5}{2}=\frac{1800\times5}{2}=\frac{9000}{2} = 4500$.

Answer:

$4500$