SOLUTION: The number of full-time employees of a paper manufacturing company is 4 more than 4 times the number of part-time employees. The company has 94 employees in all. Let x equal the nu

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Question 1100835: The number of full-time employees of a paper manufacturing company is 4 more than 4 times the number of part-time employees. The company has 94 employees in all. Let x equal the number of full-time employees and let y equal the number of part-time employees. Which system of equations could be solved to find the number of full-time employees?
A. x+y=94, y=4x+4
B. x+4y=90, y=4x-4
C. x+4y=90, x=4y-4
D. x+y=94, x=4y+4

Found 2 solutions by ikleyn, richwmiller:
Answer by ikleyn(52858)   (Show Source): You can put this solution on YOUR website!
.
The number of full-time employees of a paper manufacturing company is 4 more than 4 times the number of part-time employees.
The company has 94 employees in all. Let x equal the number of full-time employees and let y equal the number of part-time employees.
Which system of equations could be solved to find the number of full-time employees?

A. x + y  = 94,  y = 4x + 4    

B. x + 4y = 90,  y = 4x - 4

C. x + 4y = 90,  x = 4y - 4

D. x +  y = 94,  x = 4y + 4     <<<---=== This one, and only this.


Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
The company has 94 employees in all. Let x equal the number of full-time employees and let y equal the number of part-time employees.
full-time + part-time =all employees
x equal full-time + y equal part-time= 94 employees in all
x+y=94
That eliminates B and C which leaves A or D
full-time employees of a paper manufacturing company is 4 more than 4 times the number of part-time employees.
x equal full-time
y equal part-time
more means add
times means multiply
4 more than 4 times the number of part-time employees (y)
x=4 + 4y which is equivalent to x=4y+4 which is D
D is the answer




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