Can anyone explain how to do this question?

Can anyone explain how to do this question?

For whatever reason (maybe I'm retarded) I'm just not following it.

While trick or treating in Clayton, NY (population 1,978), some friends play a counting game-they counted all the houses they visited while trick or treating (they all counted the same houses). Diego counted the houses by 5's, and had four houses left at the end. Madeline counted the houses by 7's, and had six houses left over at the end. Based on Diego's and Madeline's counts, how many houses did they visit? Is this the only possible answer? Explain why you are sure you found all possible counts.

Other urls found in this thread:

en.wikipedia.org/wiki/Chinese_remainder_theorem
twitter.com/AnonBabble

dedication

Yeah but I need some guidance.

Bump.

So far I have something like 5*x+4 = y
and 7*z+6=y

i'm not sure but maybe this??
en.wikipedia.org/wiki/Chinese_remainder_theorem

congruences
this is easy af I'm telling you

u do some ting 6mod7=x and then kill yourself

this question is retarded, you'll have to guess how many people live in a house on average, then it is solvable

multiple answers. you are on the right track.

It boils down to a linear system of equations with 2 equations and 3 unknowns and you already got them.

The only limitation is that x, z, y are natural numbers.

The amount of houses can be 34,69,104,139... etc.

Yeah that's what I thought. I appreciate the confirmation and further guidance. This question has been killing me.