ratio

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What is the number of female employees in Company X ?
(1) If Company X were to hire 14 more people and all of these people were females, the ratio of the number of male employees to the number of female employees would then be 16 to 9.
(2) Company X has 105 more male employees than female employees.

C

[NicoFalcon]

(1) A ratio of 16/9 can be achieved with a lot of number combinations, it´s usells info to reacho a number for female employees

(2) Is only a comparation, so it can´t be used to get an absolute value.

Using the info from (1) and (2) we can construct the following equation:

(x+105)/x=16/9, that will eventually give x=169, so there are 169 female employees in X.

C is the answer

[cramya]

m->males
f->females

Stmt I

m / f+14 = 16/9

9m = 16f + 16*14

INSUFF (2 variables i equation)

Stmt I

m = f+105

m and f could take on multiple values satisfying this condition

INSUFF

Together

9m = 16f + 16*14 (1)
m = f+105 (2)

Substitute m from (2) in (1) and it can be solved

SUFF

C)

[ronniecoleman]

IMO C


Male/ female+ 14 = 16/9 --- from first

Male - Female = 105 ----- from second

Solve both the equations: