Question

I don't understand this word problem. Please help.

You are at a party with 100 people. 99% of the people are FSU fans. Some of the FSU fans left the party and now 98% of the people are FSU fans. How many people are still at the party?

Thank you.

Answer 1

First you need to figure out 99% of 200. To do that multiply 200 by 0.99 (A percentage is often equal to a decimal in formulas. 99% is equall to 99/100 OR 0.99/1) which equals 198. That means there are 198 FSU fans at the party. Now you need to figure out how many non FSU fans are at the party. We know that 99% are FSU fans, so logic tells us that 1% are NOT FSU fans. So, like before, we use a formula. Multiply 200 by 0.01 (which is equal to 1%) to get 2. That means there are 2 non FSU fans.
So right now you should have FSU (or 'x') equaling 198 and NonFSU (or 'y') equaling 2.

So now we fast forward a little bit to when the FSU fans left the party. We don't know how many FSU fans are still at the party. This means we don't know what 'x' is anymore. We do know that no NonFSU fans left, so that means that 'y' is still 2 people!

Now we get into the actual formula. The question tells us that 'x' (FSU fans) equals 98%. Since x+y=100% (There's no one at the party who is x and y, so that means x+y has to represent everyone, or 100% of the partiers!) So that means the formula becomes 98%+y=100%. Because of this 'y' (non FSU fans) equal 2%.

Now it gets easier! Remember how we figured out earlier that 'y' was 2 people? Y is also 2% of the whole party. Now we go back to our decimal formulas. Let 'A' equal the totaly number of people at the party: 2/A=0.02 -- use your algebra skills to show your work. The answer to that is that A equals 100, as 2/100 people is 2%.

So 'A', your final answer, is 100. There are 100 people left at the party.

http://answers.yahoo.com/question/index?qid=20110323145106AAkP4Vv

Answer 2

That's out of 200 people though. @Rohangrr

Answer 3

okay replace the 200 ppl with hundred ppl