800guy wrote:**X percents of the rooms are suits, Y percent of the rooms are painted light blue. Which of the following best represents the least percentage of the light blue painted suits?**

1) X-Y

2)Y-X +100

3)100X-Y

4)X+Y-100

e)100-XY

from diff math doc, oa coming when people respond with answers

THIS IS THE LAST QUESTION OF THE DIFFICULT MATH PROBLEMS DOC!!

XnY = X + Y - XuY (set theory)

Min value of XnY is when XuY is maximum i.e. 100%

So is the min X + Y - 100 ?

Just scanning the answer choices, X-Y or Y-X would be incorrect

since we want to find rooms that are both "blue" and "suits". That

eliminates A and B.

C doesn't look good either since we are comparing percentages i.e.

100X would be a whole number and you can't technically subtract

a percentage value from this.

That leaves us with D and E

.