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If we ignore parentheses, the order of operations in (24/100)∗300 is division, then multiplication. The order of operations based on the parentheses: division, then multiplication. You disregarded both rules.
I just wanted to add this caveat: it was omission by neglect nor by ignorance. I did it on the first post and then forgot to do it on the next. A mistake nonetheless,I know, but wanted to make that clear because you have put a lot of emphasis on that!.
 
That doesn't make sense. What is your final answer to the original question?
I don't think you've said that anywhere yet.
Sorry.
[math]300 --------100%[/math][math]x -------------24%[/math][math]x= (24×300)/100[/math][math]x=72[/math]72 students out of 300 chose Photography
 
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