a manger claims that three out of every four of her workers are women. She employs between 30 and 40 workers. How many workers could she have altogether?

Question

The manager of a small company claims that three out of every four of her workers are women. She employs between 30 and 40 workers altogether. If her statement is true how many workers could she have altogether?

Answer 1

The words "out of every four" mean that groups of four have three women.

 

"Groups of four" (multiples of 4) between 30 and 40 are:

    32, 36, 40

 

and the fractions are:

    24/32,  27/36,  30/40