SOLUTION: In Exercises 24 and 25, use the following information. There are 16 workers employed on a highway project, some at $200 per day and some at $165 per day. The daily payroll is $27

Algebra ->  Probability-and-statistics -> SOLUTION: In Exercises 24 and 25, use the following information. There are 16 workers employed on a highway project, some at $200 per day and some at $165 per day. The daily payroll is $27      Log On


   

Question 402529: In Exercises 24 and 25, use the following information. There are 16 workers employed on a highway project, some at $200 per day and some at $165 per day. The daily payroll is $2745.
24. Let x represent the number of $200 per day workers and let y represent the number of $165 per day workers. Write a system of equations to find the number of workers employed at each wage.
25. Solve the system to find the number of workers employed at each wage.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
There are 16 workers employed on a highway project, some at $200 per day and some at $165 per day. The daily payroll is $2745.
24. Let x represent the number of $200 per day workers and let y represent the number of $165 per day workers. Write a system of equations to find the number of workers employed at each wage.
25. Solve the system to find the number of workers employed at each wage.
----
Equations:
x + y = 16 workers
200x + 165y = 2745
-------
Multiply thru the 1st equation by 200 to get:
200x + 200y = 200*16
-------
Subtract that from the 2nd equation and solve for "y":
-35y = -455
y = 13 (# of workers making 165 per day)
----
Solve for "x":
x + y = 16
x + 13 = 16
x = 3 (# of workers making 200 per day)
============================================
Cheers,
Stan H.
=============