So 16/x = 20/100; 20x = 1600; x = 80

I did it the same way as the guy above, seeing that the 16 members consituted the 20% difference in the number of members. .

so if 16 is 20%, then half of that (8 people) is 10%, so to get the 100% number, just multiply the 10% (8 people) by 10, or 80.

65% showed up

16 members that were registered did not show up

so 85% – 65% = the members that did not show up which is 16

so 20% of the members that did not show up = 16

the total number of members = 16/20%

or 16/.2 = 80 members total

Now that we know that there were 46 that signed up to attend……those 46 equal 85% of the total members. so……..46 divided by .85 = 54

answer: 54 total members.

proof: working it backwards…… it there are 54 total members…..85% of 54 is 46…….46 members signed up but only 65% attended……65% of 46 is 30. that leaves 16 that did not attend. 46-30=16.

equasion: (16/35%)/85%

I read the answer wrong… Sorry… >.< I missed the word resulting.

.85x – .65x = 16

x (.85 – .65) = 16

x (.2) = 16

x = 16/.2 = 80