We know that
• Caesar earned $23 an hour.
,
• He had saved $3,360.
,
• He worked 28 hours each week.
,
• We know that a year has 52 weeks.
Based on the given information, we express the following equation:
![23\cdot28\cdot52-x=3,360](https://img.qammunity.org/2023/formulas/mathematics/high-school/8r8a3m944quvan45mt9zwk873j14tvhnxs.png)
Where x represents all his expenses throughout the year.
![\begin{gathered} 33,488-x=3,360 \\ 33,488-3,360=x \\ x=30,128 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/kjndzz40kf5q8dsw3qu14yztbyxti3ec6p.png)
Caesar spent $30,128 the whole year, let's divide it by 12 to find his monthly expenses.
![(30,128)/(12)\approx2,511](https://img.qammunity.org/2023/formulas/mathematics/high-school/shi4ypo11vpf1gxm66qtx3nto6xycu3e7t.png)
Hence, Caesar's average monthly expenses were $2,511.