Question

Assume that neither xx nor yy is equal to 0, to permit division by xx and by yy.

Initially, the men and women in a room were in the ratio of 5: 7. Six women leave the room. If there are 35 men in the room, how many women are left in the room ?

• A. $34$
• B. $21$
• C. $43$
• D. $47$

Answer 1

Answer: (C)

$43$

You can use the unknown multiplier very effectively here:

Men $=5x$

Women $=7x$

$5x=35$

$x=7$

Women $=7x=49$

If 6 women leave the room, there are 49 -6, or 43, women left.