6. genesis started a housekeeping business. she earns $45 per house that she cleans. her monthly cleaning…
6. genesis started a housekeeping business. she earns $45 per house that she cleans. her monthly cleaning expenses cost $180. how many houses did she clean last month if her profit was $1,350?
Answer
Explanation:
Step1: Recall profit formula
Profit = Revenue - Expenses. Let the number of houses be $x$. Revenue = $45x$, expenses = $180$, and profit = $1350$. So, $1350=45x - 180$.
Step2: Isolate the term with $x$
Add 180 to both sides of the equation. We get $1350 + 180=45x$, which simplifies to $1530 = 45x$.
Step3: Solve for $x$
Divide both sides by 45. $x=\frac{1530}{45}=34$.
Answer:
34