Question 909368
Two young lovers accidentally dropped a package full of condoms. One third of the condoms stayed in the package, one-fourth got caught in the bed sheets, one -sixth spilled to the floor, and one-eighth rolled out of the door; She caught one-ninth of them, and he put on the one remaining. How many condoms were in the package, and how many went where?

let there be x initially

 One third of the condoms stayed in the package, x/3.... 24
one-fourth got caught in the bed sheets, x/4.......    18
one -sixth spilled to the floor, x/6........ 12
and one-eighth rolled out of the door; x/8........ 9
She caught one-ninth of them, x/9........... 8
+1 used 1

Take the LCM of the denominator and add 

72 condoms