Question 402529
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.
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Equations:
x + y = 16 workers
200x + 165y = 2745
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Multiply thru the 1st equation by 200 to get:
200x + 200y = 200*16
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Subtract that from the 2nd equation and solve for "y":
-35y = -455
y = 13 (# of workers making 165 per day)
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Solve for "x":
x + y = 16
x + 13 = 16
x = 3 (# of workers making 200 per day)
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Cheers,
Stan H.
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