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# This is most probably Chinese Remainder Theorem..help!!?

When you group

your pupils in rows of five, two are left over. If you group them in eights, only one is left over. So you

try it with rows of nine, but now you are left with seven pupils. What do you think would happen if

you grouped your pupils in rows of eleven? And can you guess how many pupils you have?

### 1 Answer

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- 8 years agoFavorite Answer
There are 97 pupils

Rows of 5: 19 rows + 2 left over (19 * 5 + 2 = 97)

Rows of 8: 12 rows + 1 left over (12 * 8 + 1 = 97)

Rows of 9: 10 rows + 7 left over (10 * 9 + 7 = 97)

So...

Rows of 11: 8 rows + 9 left over (8 *11 + 9 = 97)

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