SOLUTION: There is a question in my book that I dont really understand. To me it seems like maybe there is not enough information. I will write the exact question down for you: <BR> In t

Algebra ->  Number-Line -> SOLUTION: There is a question in my book that I dont really understand. To me it seems like maybe there is not enough information. I will write the exact question down for you: <BR> In t      Log On


   



Question 39108: There is a question in my book that I dont really understand. To me it seems like maybe there is not enough information. I will write the exact question down for you:


In the diagram, D is the midpoint between C and E.
C is the midpoint between A and E.
D is is 6 points to the left of E.
C is 5 points to the right of B.
The coordinate of A is 0. Find the coordinates of B,C,D.
(then there is a little number line thats something like
A B C D E
--------------
If you could help me that would be great!
Thank you for your help!

Answer by KneesAndToes(13) About Me  (Show Source):
You can put this solution on YOUR website!
This problem would be easier to show you on something physical that we could both move, but I'll do my best to explain here:


A has the coordinate of 0, so start with A:


0
A


Since D is the midpoint between C & E, and D is 6 points to the left of E, we know that there are 12 points between C & E. We can use place holders for this because we don't have the actual numbers yet:
A ..?.. C...-6pts......D......6pts......E


We also know that C is the midpoint between A and E. Since there are 12 points between C & E, there must be 12 points between A & C:
A............12pts.............C........6pts........D.........6pts.........E


Now we just need to add B into this, 5 points to the left of C:
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
A................B...............C....................D....................E


B is 7, C is 12, D is 18