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mand-y
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mand-y
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trublu
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mand-y
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mand-y
hi all

I have heard about the mod and the remainder chinese theorem in some posts dealing with remainder I did not learn this at school
Can anyone help me with this exercise using the remainder chinese theorem so i can notice i did understood it . plz explain your working
THANKS

The teacher has some apples to distribute to her students. If she
gives all of the apples to the 13 students in her first class she will
have 4 left. If she gives all of the apples to the 29 students in her
second class she will have 9 left. If she gives all of the apples to
the 37 students in her third class she will have 16 left. Whichever
class she gives the apples to, she will give each student the same
number of apples. What is the smallest number of apples the teacher
can have?


x=9 MOD 23 sorry typo
corrected

x=9 MOD 29
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chuckle
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Mand-y, Answer is definitely not 13*29*37 since when the teacher distributes the apples equally to 13 students, 4 apples remain => the number of apples is not divisible by 13. But, I do not know how to answer this question. If answer choices were there, we would substitute and find out.
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mand-y
hi all

I have heard about the mod and the remainder chinese theorem in some posts dealing with remainder I did not learn this at school
Can anyone help me with this exercise using the remainder chinese theorem so i can notice i did understood it . plz explain your working
THANKS

The teacher has some apples to distribute to her students. If she
gives all of the apples to the 13 students in her first class she will
have 4 left. If she gives all of the apples to the 29 students in her
second class she will have 9 left. If she gives all of the apples to
the 37 students in her third class she will have 16 left. Whichever
class she gives the apples to, she will give each student the same
number of apples. What is the smallest number of apples the teacher
can have?



The answer is 3605 applying modular algebra, but I agree it would be easier just backsolving



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