How many integer pairs (x, y) satisfy the statements 0

Question

How many integer pairs (x, y) satisfy the statements 0<x+y<50 and x/y=8?

anonymous · Answer

i'd count

anonymous · Answer

just count?

anonymous · Answer

$x=8y$ so start with $y=1, x=8$

anonymous · Answer

there is probably a quick way to do it once you start counting, but there cannot be that many

anonymous · Answer

since $x=8y$ you have only a few choices 
$y=1,x=8$$y=2,x=16$  etc
you are going to get to 50 quickly

anonymous · Answer

If $x/y=8$ we know $y=8x$ so we're just asking for how many integers $x$ is $0<9x<50$. Observe this is equivalent to $0<x<5\frac59$. Can you count now? ;-)

anonymous · Answer

$5\frac59=\frac{50}9$ btw

loser66 · Answer

x=8y friend

anonymous · Answer

@Loser66 oops -- technically my answer is still correct though since it won't make a difference other than that it wasn't correct to say $y=8x$.

loser66 · Answer

I know

anonymous · Answer

How many integer $y$ satisfy $0<9y<50$ is identical to how many integer $x$ satisfy $0<9x<50$ :-p

anonymous · Answer

@sakigirl if these are SAT math problems and you don't get a response feel free to tag me -- I scored an 800

anonymous · Answer

@oldrin.bataku dang, thanks haha. appreciate it lots :)