SOLUTION: Some athletes were running and they met another athlete running the opposite direction.The athlete greeted them,"hello a thousand!They said,"we are not a thousand,we need half of u

Algebra ->  Equations -> SOLUTION: Some athletes were running and they met another athlete running the opposite direction.The athlete greeted them,"hello a thousand!They said,"we are not a thousand,we need half of u      Log On


   

Question 1041923: Some athletes were running and they met another athlete running the opposite direction.The athlete greeted them,"hello a thousand!They said,"we are not a thousand,we need half of us plus you to make a thousand."
Q:How many athletes were running?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = the number of athletes that
are the ones saying " We are not a thousand
,we need half of us plus you to make a thousand."
Let +y+ = the number of athletes who met them.
------------------------------
given:
+x%2F2+%2B+y+=+1000+
+y+=+-x%2F2+%2B+1000+
Here's the plot:
+graph%28+600%2C+600%2C+-200%2C+2500%2C+-200%2C+1200%2C+-x%2F2+%2B+1000+%29+
The largest +y+ can be is 998 because the smallest +x+
can be is 2
The largest +x+ can be is 1998 because if +x+ = 2000,
then +y+=+0+
-----------------
+x+ and +y+ can be any point on the line as long as the
x+'s and +y+'s are both even. ( neither can be odd )
Hope I got this: get another opinion, too