Question

You have two jobs. One job pays nine dollars per hour and the other job pays $7.50 per hour. You worked 18 hours last week and earned $145.50. How many hours did you work at each job?

Answer 1

Answer:

$Y =\frac{16.5}{1.5}= 11$

$X = 18-11=7$

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:

$X$ represent the number of hours worked for one job

$Y$ represent the number of hours worked for the other job

$p_x = 9$ represent the hourly payment for the first job

$p_y = 7.50$ represent the hourly payment for the other job

And we can define the following equations:

$X+ Y= 18$   (1) represent the toal number of hours worked

$9X +7.5 Y = 145.50$  (2) represent the total amount earned

From equation (1) if we solve for X we got:

$X = 18-Y$ (3)

Replacing equation (3) into equation (2) we got:

$9(18-Y) +7.5 Y =145.50$

And after solve the equation we can find the value of Y:

$162 -9Y +7.5 Y =145.50$

$16.5 = 1.5 Y$

$Y =\frac{16.5}{1.5}= 11$

And solving for X from equation (3) we got:

$X = 18-11=7$

And then we conclude that for the first job he works 7 hours and for the second job 11 hours