Respuesta :
Answer:
[tex] Y =\frac{16.5}{1.5}= 11[/tex]
[tex] X = 18-11=7[/tex]
And then we conclude that for the first job he works 7 hours and for the second job 11 hours
Step-by-step explanation:
We can define the following notation:
[tex]X[/tex] represent the number of hours worked for one job
[tex]Y[/tex] represent the number of hours worked for the other job
[tex]p_x = 9[/tex] represent the hourly payment for the first job
[tex]p_y = 7.50[/tex] represent the hourly payment for the other job
And we can define the following equations:
[tex] X+ Y= 18[/tex] (1) represent the toal number of hours worked
[tex] 9X +7.5 Y = 145.50[/tex] (2) represent the total amount earned
From equation (1) if we solve for X we got:
[tex] X = 18-Y[/tex] (3)
Replacing equation (3) into equation (2) we got:
[tex] 9(18-Y) +7.5 Y =145.50[/tex]
And after solve the equation we can find the value of Y:
[tex] 162 -9Y +7.5 Y =145.50[/tex]
[tex]16.5 = 1.5 Y[/tex]
[tex] Y =\frac{16.5}{1.5}= 11[/tex]
And solving for X from equation (3) we got:
[tex] X = 18-11=7[/tex]
And then we conclude that for the first job he works 7 hours and for the second job 11 hours
