Hey guys,
This one is easier than it looks
We are given all of the percents, just in sneaky ways
We are told that 22% are Juniors
We are told that 74% are not Sophomores, meaning that 26% are Sophomores
We are told that 160 students are Seniors
\(
\frac{160}{800} = \frac{2}{10}\) = 20%
Add up the sum of the percentages we know:
20% + 26% + 22% = 68% are not Freshmen
That means that 32% are Freshmen
We are asked for the difference in number between Freshmen and Sophomore, however
Let's take the difference in percent:
32% - 26% = 6%
The difference is 6%
What is 6% of 800?
Sounds complicated and annoying right?
Here is a trick
Break the number into 10% and 1%, which is easy, you just move a decimal, and then add them up as necessary
10% of 800 = 80
1% of 800 = 8
6% = 1% * 6 = 8 * 6 = 48
There are 48 more Freshmen than Sophomores
The answer is B
You can do this on any problem that has annoying percents, it's a great time saver
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