May someone check my work? Jeff and his cousin work during the summer for a roofing company. Jeff's cousin has been working for the company longer, so his pay is 40% more than Jeff's. Last week his cousin worked 30 hours, and Jeff worked 25 hours. Together, they earned $562.80. What is Jeff's hourly pay? Explain or show your reasoning for full credit.

30j+40% + 25j= 562.8

30j+25j= 55j

55j + 40% = 562.8

40% of 55 is 22

77j = 562.8

562.8 77 = 7.309090909

Simplify 7.309090909

$7.31 Per hour.