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At Gallicum Enterprises, all employees are in one of three categories: J, K, or L. The ratio of the numbers of employees in J to K to L has been 1:3:5 for some time. Last month, 20 new J employees were hired, and no employees left. If the new ratio of J to K is now 1:2 with these new J employees, what is the new total number of employees at Gallicum Enterprises?A. 180B. 240C. 260D. 320E. 380

Respuesta :

Answer:

Option (E) 380

Step-by-step explanation:

Data provided in the question:

Ratio of J to K to L = 1 : 3 : 5

let x be the constant of proportionality

Thus,

Initial number of J, K and L employees = x, 3x and 5x

Thus,

according to the question

New number of J, K and L employees = ( x + 20x), 3x and 5x respectively.

also,

[tex]\frac{x+20}{3x}=\frac{1}{2}[/tex]

or

2 ( x + 20 ) = 3x

or

x = 40

Hence,

New total number of employees = x + 3x + 5x + 20

= 9x + 20

= 9 × 40 + 20

= 380

Hence,

Option (E) 380

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