Want to take your family on a two week vacation this summer, which is 5 months away for the vacation is $2,245. You work extra hours at your job at $11.25 per hour. Fifteen Ef your earnings go to taxes, and the rest goes toward the expenses for this vacation. O months, what is the fewest number of extra hours per month you could work and still oney to take this vacation? 6. 47 E. 235 D. 200

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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.

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