Question

Water Glae on a helf are broken and mut be replaced. The replacement cot can be cut in half if you can figure out how many glae were broken. Here are your clue:

There were more than 24 glae, but le than 100 glae. If the glae were in row of 6, there would be 3 left over. If the glae were in row of 8, there would be 7 left over

Answer 1

Okay, let's go through this step-by-step:

* There were more than 24 glasses, but less than 100 glasses

* If the glasses were in rows of 6, there would be 3 left over

* So we can try numbers from 25 to 99 glasses

* If we try 27 glasses (4 rows of 6 + 3 left over) that works

* If the glasses were in rows of 8, there would be 7 left over

* Trying 27 glasses does NOT work, because if we divide 27 by 8 we get 3 rows with 5 left over, not 7

* So we need to find a number of glasses where if divided by 8 has a remainder of 7

* The next number after 27 that works is 35

* 35 / 8 = 4 rows with 7 left over

Therefore, the number of glasses that were broken is 35. Half of that is 17 or 18 glasses that need to be replaced.