Megan worked 11 hours more than Juan last month. If Megan worked 4 hours for every 3 hours that Juan worked, howmany hours did they each work?

Megan worked for 44 hours and Juan worked for 33 hours.Step-by-step explanation:Given, Ratio of Megan's working hours to Juan = 4:3Let x be the number of hours Juan worked.As Megan worked 11 hours more, therefore, Megan's working hours = x+11Using proportions; Ratio of Megan's working hours to Juan :: Total working hours of Megan to Juan[tex]4:3::x+11:x[/tex]Product of mean = Product of extreme[tex]3*(x+11)=4*x\\3x+33=4x\\33=4x-3x\\33=x\\x=33[/tex]Megan's working hours = x+11 = 33+11 = 44 hoursMegan worked for 44 hours and Juan worked for 33 hours.Keywords: Ratio, ProportionLearn more about ratios at:brainly.com/question/5059091brainly.com/question/5069437#LearnwithBrainly