Answer to Question #119969 in Algebra for Tina

Question #119969
Paul,mpho and Clifford earned 2520 for painting a house.paul worked for 30 hours,phone worked for 50 hours and Clifford worked for 60 hours.the money should be divided in proportion to the number of hours each worked.by means of calculations , show how much did each get
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Expert's answer
2020-06-07T16:00:25-0400

Paul worked for 30 hours , mpho worked for 50 hours and Clifford worked for 60 hoursTotal working hours=30+50+60=140 hoursPaul worked for 30 hours    the ratio of Paul =30140=314Paul will get314×2520=540Mpho worked for 50 hours    the ratio of Paul =50140=514Mpho will get514×2520=900Clifford worked for 60 hours    the ratio of Paul =60140=37Clifford will get37×2520=1080Confirm the solution540+900+1080=2520\text{Paul worked for 30 hours , mpho worked for 50 hours and Clifford worked for 60 hours}\\[1 em] \text{Total working hours} =30+50+60=140 \text{ hours}\\[1 em] \because\text{Paul worked for 30 hours}\implies \text{the ratio of Paul }=\frac{30}{140}=\frac{3}{14}\\[1 em] \therefore \text{Paul will get} \frac{3}{14} \times 2520 =\fcolorbox{red}{aqua}{540} \\[1 em] \because\text{Mpho worked for 50 hours}\implies \text{the ratio of Paul }=\frac{50}{140}=\frac{5}{14}\\[1 em] \therefore \text{Mpho will get} \frac{5}{14} \times 2520 =\fcolorbox{red}{aqua}{900} \\[1 em] \because\text{Clifford worked for 60 hours}\implies \text{the ratio of Paul }=\frac{60}{140}=\frac{3}{7}\\[1 em] \therefore \text{Clifford will get} \frac{3}{7} \times 2520 = \fcolorbox{red}{aqua}{1080} \\[1 em] \text{Confirm the solution} 540+900+1080=2520


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