A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 3 years ago
Car Wash at stake 
If we list all the natural numbers below 10 that are multiples of 3 or 5, we get 3, 5, 6 and 9. The sum of these multiples is 23.
Find the sum of all the multiples of 3 or 5 below 1000.
 3 years ago
Car Wash at stake  If we list all the natural numbers below 10 that are multiples of 3 or 5, we get 3, 5, 6 and 9. The sum of these multiples is 23. Find the sum of all the multiples of 3 or 5 below 1000.

This Question is Closed

mattfeury
 3 years ago
Best ResponseYou've already chosen the best response.3var sum = 0; for(var i = 1; i < 1000; i++) { if (i % 5 == 0  i % 3 == 0) sum += i }

dpflan
 3 years ago
Best ResponseYou've already chosen the best response.0give me a link to your code or scratch paper

mattfeury
 3 years ago
Best ResponseYou've already chosen the best response.3I bequeath the car wash to darthsid.

farmdawgnation
 3 years ago
Best ResponseYou've already chosen the best response.0Winning is mattfeury!

mattfeury
 3 years ago
Best ResponseYou've already chosen the best response.3He's got a cute face.

dpflan
 3 years ago
Best ResponseYou've already chosen the best response.0Side, clean up dat Rav 4 and get some spinning rims while you're at it

dpflan
 3 years ago
Best ResponseYou've already chosen the best response.0they're hipster now, and listen to some baumstein at 11

darthsid
 3 years ago
Best ResponseYou've already chosen the best response.3ok so apparently my attempt to calculate it manually is wrong, can you guys figure out what is wrong with it? 1. Multiples of 3: There are 3 multiples of 3 in the first 10 numbers, so there are 1000mod3 = 333 multiples of 3 lower than 1000. So their sum should be 3(1+2+3...+333) 2. Multiples of 5: There are 2 multiples of 5 in the first 10 numbers, so there are 200 multiples of 5 in 1000. Their sum is 5(1+2+3..+200) The total comes out to be wrong. What's wrong?

darthsid
 3 years ago
Best ResponseYou've already chosen the best response.3So I have to not count 1000, and I have to subtract the sum of common multiples (of 15). But it is still wrong

dpflan
 3 years ago
Best ResponseYou've already chosen the best response.0Sid, you are the Ramanujan of this riddle

darthsid
 3 years ago
Best ResponseYou've already chosen the best response.3MY LOGIC IS CORRECT! Only mistake was in the calcs.

mattfeury
 3 years ago
Best ResponseYou've already chosen the best response.3Sid, you are the Rashomon of this riddle.

FoolForMath
 3 years ago
Best ResponseYou've already chosen the best response.0This is elementary mutual inclusion exclusion.

FoolForMath
 3 years ago
Best ResponseYou've already chosen the best response.0And this is actually project Euler problem #1 http://projecteuler.net/problem=1

karatechopper
 3 years ago
Best ResponseYou've already chosen the best response.0i believe this should be in math section;) jk

asnaseer
 3 years ago
Best ResponseYou've already chosen the best response.1You could just do the following for all number between 1 and 999: 1) find the sum of all multiples of 3  call it Sum3 2) find the sum of all multiples of 5  call it Sum5 3) find the sum of all multiples of 15  call it Sum15 the your answer would be Sum = Sum3 + Sum5  Sum15 I subtract Sum15 from this because any multiple of 15 will be included in both Sum3 AND Sum5.
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.