Question

How many positive integers less than 100 have a remainder of 3 when divided by 7?

Answer 1

14.

Answer 2

\[3,7+3,2\times 7+3,3\times 7+3,...\]

Answer 3

so abtrehearn is right. since
\[14\times 7+3=101\] which tells us that there are 13 +1 because of the first one

Answer 4

Are u counting zero? If so why?

Answer 5

I'm thinking 13.

Answer 6

because 7 goes in to 3 zero times with a remainder of 3

Answer 7

I was thinking what LA-Mrc said but my book says the answer is 14.
If 7 doesn't go into 3 wouldn't the remainder be 7 : ?

Answer 8

Here's how I worked it out:
10 is the first positive integer that can be divide by 7 with a remainder of 3.
The next is 17, then 24, ... all the way to 94.

Answer 9

10, 17, 24, ..., 94
That should be 13 terms.

Answer 10

The number 3 is also in the list of positive integers less than 100 whose remainder is 3 upon dividing by 7. The list is {3, 10, 17, ... , 94}.

Answer 11

I guess I missed the first one, i.e., 3.

Answer 12

Good job, abtrehearn,

Answer 13

I'm not sure I understand how 3 works also : /

Answer 14

Ten-four, IA-MrC :^)