Question

one bell rings every 5 hours while another bell rings every 7 hours. After both ringing at the same time the next time that the two bells will ring at the same time after?

Please answer clearly and explain the solution clearly and easy to understand. Thanks!
(guaranteed medal for a good answer)

Answer 1

Ready to work on this together?

Answer 2

hey find the lcm you will get the time

Answer 3

Hit me up whenever you're ready to work on this together!

Answer 4

the andswer is 35 as the lcm is 35

Answer 5

ok so they both start at 0
the first bell rings at 5, 10,15,20,25,30,35,40,45,50
the second bell rings at 7,14, 21, 28, 35,
so the answer is 35 hours

Answer 6

Very close, folks. I don't want to give away the answer, but I do want to help; so whenever you're ready to work on it together, let me know. I'll wait another 5 minutes.

Answer 7

35 hours is the right answer

Answer 8

im ready!

Answer 9

teach me

Answer 10

sorry for the late reply

Answer 11

Awesome. Notice that it says "after the first time that they both match up, when will they match up again"?

Answer 12

yup

Answer 13

Just do what was said above:

5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90
7 14 21 28 35 42 49 56 63 70

Notice that 70 is the first time they ring together after "both ringing at the same time the next time that the two bells will ring at the same time after?"

Answer 14

That is, unless they meant to say "Assuming that both have just rung together, when is the next time that both ring at the same time?" Of course, that would be an error on behalf of the question writers. :P

Answer 15

is there a faster way to solve this?
cause i need to be fast in solving this :)

Answer 16

Unfortunately, the only way to do it is to list the factors and figure out the smallest common factors.

Answer 17

I think hamhamham's solution is already correct

Answer 18

the answer is 35

Answer 19

Okie dokie. Assuming that the question is worded incorrectly, that would be the correct answer. However, by going with what the question literally asked, the answer is 70. ^_^

Because remember: 35 hours is the first time both bells rang at the same time. And they ask for when the bells ring together after the first time.

Answer 20

idk know but there is no 70 on the choices

Answer 21

Consider that to follow the pattern, there must be an origin point, in this case t=0. It is safe to assume that they rang at time=0, thus being their first simultaneous ring, giving the second to be t=35.

Answer 22

Ah ok. Then the question is worded badly, and 35 is indeed the answer they want you to find.