SOLUTION: On a number line, the coordinate of point X is -18 1/2 and the coordinate of point Y is 25 1/3. What mixed number corresponds to the coordinate of point Z if the distance between X

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: On a number line, the coordinate of point X is -18 1/2 and the coordinate of point Y is 25 1/3. What mixed number corresponds to the coordinate of point Z if the distance between X      Log On


   

Question 1203917: On a number line, the coordinate of point X is -18 1/2 and the coordinate of point Y is 25 1/3. What mixed number corresponds to the coordinate of point Z if the distance between X and Z is one-third of the distance between Z and Y ?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
the coordinate of point X is -18%261%2F2
the coordinate of point Y is 25%261%2F3


X______________________________________________Y
-18%261%2F2.......................................................................................................25%261%2F3
the distance between X+and Z is one-third of the distance between Z+and+%7B%7B%7BY
X______d______Z_____________3d_______________Y
-18%261%2F2......................................................................................................25%261%2F3
the distance between X and Y
d=+the+distance+between+%7B%7B%7BX+and Y+divided by 4
d=%2825%261%2F3%2B18%261%2F2%29%2F4
d=263%2F24
3d=+3%2A263%2F24=263%2F8
the coordinate of the point Z is -18%261%2F2%2B263%2F24=-181%2F24=-7%2613%2F24
or
25%261%2F3-+263%2F8=-181%2F24=-7+13%2F24
answer: the coordinate of the point Z is -7+%2613%2F24