200 people attended a party. Ninety-nine percent of the people were FSU fans. After some people left the party, 98% of the people left were FSU fans. How many people left the party?
FSU = .99(200)
so
FSU = 198
I assume no FSU people left the party, like no way they would leave a party before it was over:)
198 = .98 (people left)
so
people left = 194
so 6 people left the party
The answer in the book is 100. I can't come up with that solution.
To find out how many people left the party, we first need to calculate the initial number of FSU fans at the party.
Given that 99% of the initial 200 people were FSU fans, we can calculate the number of FSU fans at the start:
Number of FSU fans = 99% of 200 = (99/100) * 200 = 198
Now, let's assume that after some people left, the remaining number of people at the party is x.
Given that 98% of the remaining people were FSU fans, we can set up the equation:
98% of x = Number of FSU fans
Rewriting this equation, we have:
(98/100) * x = 198
Now we can solve for x:
x = (198 * 100) / 98 = 202.04 (approximately)
Since we're dealing with a whole number of people, we can round up to the nearest whole number. Therefore, 203 people were left at the party after some people left.
To find out how many people left the party, we subtract the number of people remaining from the initial 200:
Number of people left = 200 - 203 = -3
Since we can't have a negative number of people leaving, in this case, there were zero people who left the party.
Therefore, zero people left the party.