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March 29, 2015

Posted by **Rachel** on Wednesday, August 22, 2012 at 10:53pm.

- math -
**Ms. Sue**, Wednesday, August 22, 2012 at 11:03pmWhich of these multiples of 8 plus 1 is also divisible by 5?

49, 57, 65, 73, 81, 89, 96

Is it also a multiple of 3 plus 1?

- math -
**Reiny**, Wednesday, August 22, 2012 at 11:09pmSo the number has to be a multiple of 5 , between 45 and 200

when divided by 8 there is a remainder of 1

so it could be

49 57 65 73 81 89 97 105... 145 .... 185

when divided by 12 , there is a remainder of 1

so it could be

49 61 73 85 97 109 121 133 145 ... 205

the common number is all 3 restrictions is 145**So there were 145 students.**

check:

1. 145 divides evenly be 5

2. 145/8 = 18 with remainder of 1

3. 145/12 = 12 with a remainder of 1

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