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There are 45 boxes. Each of them has number on top of it. The numbers are two digit and even. The cups are placed in proportion to half of the number on each of the 45 boxes. If there is 3645 cups in total. What is the number of cups placed in the highest number written box?
2018-08-15 02:06
#2
 | 
Italy faintD 
0,34
2018-08-15 02:08
Mardatonne tefarkardo ihzire hirrime
2018-08-15 02:08
'The cups are placed in proportion to half of the number on each of the 45 boxes.' wat
2018-08-15 02:09
Let's imagine a box which has number 10 on top of it. Half of it is 5, the cups in the box will be 5k. If the total cup is 5, then the box will have 5 cups inside.
2018-08-15 02:13
the number of cups in the box will be 5k*
2018-08-15 02:14
#8
cyx | 
Canada CyxDEADLOL 
Wtf
2018-08-15 02:14
you said there are 3645 cups in total
2018-08-15 14:28
#6
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United States gtmaniacmda 
73.5, so what you cut a cup in half?
2018-08-15 02:13
You must have done something wrong.
2018-08-15 02:14
#10
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United States gtmaniacmda 
probably, on a work break and have to use iPhone calculator. I know what to do I just probably did it in the wrong order
2018-08-15 02:15
#13
 | 
United States gtmaniacmda 
#5 didn't really help me understand what #4 is confused about (I am confused as well), but I'll throw 147 out there as my answer
2018-08-15 06:37
Correct!
2018-08-15 12:11
but 147 is an odd number
2018-08-15 12:29
What is the number of cups placed in the highest number written box?
2018-08-15 12:32
#68
 | 
United States gtmaniacmda 
that's what I have said the first time but the, "the cups are placed in proportion to half of the number on each of the 45 boxes," line confused me. while it's true, it isn't helpful info, and when I tried to do it with the 3 minutes left I had on break, it confused me, haha
2018-08-15 18:30
#14
 | 
United States gtmaniacmda 
#13 (oops)
2018-08-15 06:37
49
2018-08-15 02:18
39
2018-08-15 02:26
#15
 | 
United States SSbrutas 
69
2018-08-15 06:38
didn't read but it's obviously 3
2018-08-15 06:53
147
2018-08-15 12:26
let me rethink that :)
2018-08-15 12:38
3645 cups, 45 boxes 3645 / 45 = 81 ... this is the average number of cups needed in a box since we cannot go over 98 on the box, it cannot all be boxes with "162", so we have to spread it upwards from 81 98 number on box would give use only 49 cups and 49 * 45 is lower than 3645 this has no solution
2018-08-15 12:40
"The cups are placed in proportion to half of the number on each of the 45 boxes." This one doesn't mean boxes exactly has half of the number that is written on it. If half of the number that is written on it is 10, then the cups in it could be 5, 10, 15 etc. So its 5k, which k is a natural number. "98 number on box would give use only 49" It would give us 49k, not exactly 49.
2018-08-15 12:46
Thanks for explaining, let me try again :)
2018-08-15 12:52
It's too hard for my weak math skills. I cam to conclusion, that it is 5k1 + 6k2 + 7k3 + ... + 49k45 where k1..k45 can be between 0 and infinity, only whole positive numbers
2018-08-15 13:07
no, k's are same. They are all connected.
2018-08-15 13:57
The amount of cups in a box is three times half of the boxes number. Highest box number = 98 Amount of cups = 98 / 2 *3 = 147
2018-08-15 14:10
Correct!
2018-08-15 14:12
ez math using a PHP script
2018-08-15 14:22
that was not really stated in the task if all k's are equal then its 49 *3 Otherwise we can have a lot of solutions
2018-08-15 14:30
well, you probably miss understood me because of my English level.
2018-08-15 14:38
but the task is cool tho Counted while I was walking to the subway Thx for a good topic
2018-08-15 14:39
3
2018-08-15 14:10
#30
 | 
Israel RockTheCasbah 
10000$
2018-08-15 14:15
147
2018-08-15 14:20
What is the point of this when you can't explain it properly? " The cups are placed in proportion to half of the number on each of the 45 boxes." What the fuck does that even mean? I would imagine if box is 10 then cup is 5. But you are saying that it can be 5, 10, 15, so at least say there can be multiplication? I get the 98/2 part but I do not get where the * 3 comes from
2018-08-15 14:28
a hint 3645 / (5 + 6 + 7 + ... + 49) = 3
2018-08-15 14:31
#37
Australia vik_ 
10 + 12 + 14... + 96 + 98 = 2430 2430/2 = 1215k 1215k = 3645 therefore k = 3 highest numbered cup = 98 98/2 = 49 therefore 49k is the highest.
2018-08-15 14:35
Exactly! Just a question, was the translate decent, by decent I mean understandable?
2018-08-15 14:45
#45
Australia vik_ 
There were a few grammatical errors, however I understood everything just fine! E.g 'highest number written box' would make more sense if written as 'box with the highest inscribed number'.
2018-08-15 14:55
Well, there will be of course. It was a long sentence and my English is not that great to translate it perfectly.
2018-08-15 14:55
Thank you for the suggestion!
2018-08-15 14:57
#38
Turkey onat 
Answer is 441 So boxes can have numbers 10, 12, 14, ..., 98 The cups that are placed on them can be 5k, 6k, 7k, ...,49k where k is between 0 and infinity To achieve max number on a box you need a high k Divisors of 3645 are 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, ... Even if all boxes have 5k cups on them it makes 225k cups, so we will only consider the divisor above this number First consider 243; (try to achive a box with high base cup value, such as 49. But 49 is not possible in this case) we can achieve this by having 44 boxes with 5k and a box with 23k. 3645/243=15 Then highest number of cups on a box is 23*15=345 Now consider 405; But this time we can have 49k for one of our boxes. Try to find a combination for other 44 boxes to get 405-49=356 43 boxes with 8k, 1 box with 12k and 1 box with 49k 3645/405=9 Then highest number of cups on a box is 49*9=441 No need for trying other divisors because k value will only drop, and we can't have higher base value than 49
2018-08-15 14:38
21
2018-08-15 14:39
"The cups are placed in proportion to half of the number on each of the 45 boxes." Proportions do not change if you half the numbers. Total sum of numberss of all the boxes is 10+12+14... + 98 = 54*45 = 2430 So for each number you have 3645 / 2430 = 1.5 cups. Largest number is 98 so it has 98*1.5 = 147 cups.
2018-08-15 14:41
Well, if you take wrong path, you pretty much lose time because of that sentence. Since this question is for an exam and you only have 1.125 minute for a question. It's kinda important.
2018-08-15 14:53
what are you trying to say?
2018-08-15 14:59
It confuses some people.
2018-08-15 15:01
what confuses people?
2018-08-15 15:02
"The cups are placed in proportion to half of the number on each of the 45 boxes."
2018-08-15 15:04
Oh, now I get it. That is true.
2018-08-15 15:05
Btw "k" stands for "kilo" which is 1000. You should use some other symbol for your unkown integers to avoid confusion. Or state that it is some integer.
2018-08-15 15:04
Yes, thank you!
2018-08-15 15:08
"in proportion to half of the number on each of the 45 boxes" it does not says the cups must be in all fucking boxes !!! stupid english /closed
2018-08-15 15:05
it is not that hard you know you just take the number 3645 / (series of numbers (5,6..49))
2018-08-15 15:08
#57
Australia vik_ 
Turk English > Czech reading skills.
2018-08-15 15:09
0/8 number - on each of the 45 boxes not the cups on or in of each boxes
2018-08-15 15:13
He was just feeling thank you.
2018-08-15 15:11
#64
Australia vik_ 
Full focus, fast math
2018-08-15 15:16
it does not says the proportion must be the same for each box too, which makes lul ez, probably worst thing about the task
2018-08-15 15:24
The hardest part about this question was figuring out what was even asked. Thanks #37, No offense but I think I would have understood the question better if Xantares personally explained it to me.
2018-08-15 15:10
+1
2018-08-15 15:12
lul
2018-08-15 15:13
#66
Australia vik_ 
Np. I'll reword the original question. There are 45 boxes, each inscribed with a number. Each number is even, and can only have two digits. On top of each box, there are a number of pencils, where the quantity of these pencils is declared by half the number inscribed on each particular box. The total number of pencils is multiplied by an unknown integer, 'k', equalling 3645. The question: how many cups are on the box with the highest inscribed number.
2018-08-15 15:27
Not much of an improvement. It doesn't specify anything about whether you can use a number multiple times or not. Another way to improve it would be to say that the number of CUPS is equal to half of the value of the box and that in each cup there is a " k" amount of pencils, where k is a natural number. This way the number of pencils associated with each box is equal to half the box' value multiplied by k.
2018-08-15 15:32
EZ4ENCE
2018-08-15 15:27
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