SOLUTION:
Step 1 :
In this question, we are given that for the family to go for a two-week vacation this summer, they need a total sum of $2,245.
Then, you need to work extra hours at your job at $11.25 per hour.
If 15 % goes to taxes and the rest goes toward the expenses for
this vacation.
The amount that goes toward the expenses for this vacation =
[tex]\begin{gathered} (\text{ }100\text{ - 15 ) \% of \$ 11. 25} \\ =\text{ 85 \% of \$ 11. 25} \\ =\text{ }\frac{85}{100}\text{ x \$ 11.25 = \$ 9.5625} \end{gathered}[/tex]Step 2 :
We need to then calculate the fewest number of extra hours per month you could work and still make to take this vacation which is :
[tex]\begin{gathered} \frac{2245}{9.\text{ 5625}}\text{ = 234. 77 hours per month} \\ \approx\text{ 235 hours per month} \end{gathered}[/tex]CONCLUSION:
The fewest number of extra hours per month you could work and still make to take this vacation = 235 hours per month.