SOLUTION: 2.the sum of integers from 1 to 100 wich are not divisible by 3 or 5 is A.2489 B.4735 C.2317 D.2632

Algebra ->  Sequences-and-series -> SOLUTION: 2.the sum of integers from 1 to 100 wich are not divisible by 3 or 5 is A.2489 B.4735 C.2317 D.2632      Log On


   



Question 1096567: 2.the sum of integers from 1 to 100 wich are not divisible by 3 or 5 is
A.2489
B.4735
C.2317
D.2632

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!

(1) Find the sum A of all the integers from 1 to 100.
(2) Find the sum B of all the integers from 1 to 100 that are divisible by 3.
(3) Find the sum C of all the integers from 1 to 100 that are divisible by 5.
(4) Subtract B and C from A.

At this point, the numbers that are divisible by 15 have been subtracted twice, so we need to add them back in.

(5) Find the sum D of all the integers from 1 to 100 that are divisible by 15.

The number of integers from 1 to 100 not divisible by either 3 or 5 is
A - (B+C) + D.

I will let you do the calculations.... You should come up with answer choice D, 2632.