Answer :
Final answer:
Phillip worked 27 hours during the second week, which is the solution to the equation that represents his weekly wages over two weeks.
Explanation:
The question asks us to find out how many hours Philip worked during Week 2 given that he earns $10.25 per hour, worked h hours during Week 1, worked 6 hours more than Week 1 during Week 2, and his total earnings for the two weeks were $492.
Firstly, his earnings for Week 1 would be 10.25h (hourly rate times hours worked), and for Week 2, he worked h+6 hours, so earnings would be 10.25*(h+6). As we know the total earnings for both weeks was $492, we establish the equation 10.25h + 10.25(h+6) = 492.
Solving this equation: Combine like terms to get 20.5h + 61.5 = 492, then subtract 61.5 from both sides, which gives 20.5h = 430.5. Finally, divide both sides by 20.5 to solve for h which equals to 21.
Now that we know h (hours worked in Week 1), we can find out how many hours Philip worked in Week 2 by substituting h into the expression h+6 which gives 21+6 = 27 hours.
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