Question 551377: 2000 students in the whole school and only 55 of 90 students are buying yearbooks approximately how many books should be orderd?
Found 2 solutions by Theo, ikleyn:
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! you apply the ratio of 55/90 to 2000 to get 55/90 * 2000 = 1222.2222 students requiring books.
since you can't have a partial student, 1222 books should be enough, although you could round up and order 1223 books.
in real life, you would probably order about 1300 to 1350 so you can have some spares handy.
Answer by ikleyn(52958)  (Show Source):
You can put this solution on YOUR website! .
2000 students in the whole school and only 55 of 90 students are buying yearbooks approximately.
How many books should be ordered ?
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Tutor @Theo solved this problem in his post, but I came to present my solution
and some additional thoughts about the rounding of final number.
Similar as @Theo did in his post, you apply the ratio of 55/90 to 2000 to get
55/90 * 2000 = 1222.2222 students requiring books.
Formal rule says to round to 1222, but the common sense says to round to 1223.
Which way will you prefer ? My common sense tells me to round to 1223.
Potentially, there are 1222.222 students, who want to buy yearbooks,
and if the school wants to serve everyone of potential buyers, the school should have 1223 textbooks in the store.
This problem illustrates that in some cases common sense OVERLAYS the formal rules.
This statement can be re-phrased in other words: some problems DICTATE to round
differently than the formal rules.
It is worth to learn, and this problem is a good example.
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In this problem, a reasonable mathematical answer says that, based on given data,
the school should order at least 1223 yearbooks.
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Interesting fact:
Today, Oct.14, 2025, I submitted this problem to Google AI (" Overview AI ").
It was interesting to me, how this AI will treat this problem.
It created the answer exactly as in the post by @Theo.
It is very natural, since Google AI is not able to think: it is programmed
to rewrite from its database solutions, and it is all what it really can do in Math problems.
Naturally, 1222 is the lame answer.
I reported to them via their feedback system.
Hope, in the feature, Google AI will be more smart, having my solution in its database.
It is why I am checking the solutions by other tutors and fix/correct them, when required.
Otherwise, thousands of students will have millions defective solutions from Artificial Intelligence,
so, their mind and their common sense will be injured by the AI,
while this AI will be beaten by the competitors.
I am a devoted partner of artificial intelligence, and I work tirelessly
to ensure that the solutions to Math problems in its database are correct.
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