SOLUTION: Betty, Cathy, Isabel, Lani, Alma, and Ursula ran an 800 meter race. Alma beat isreal by 7 meters. Ursula beat betty 12 meters. Alma finished 5 meters ahead of Lani but 3 meters beh

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Betty, Cathy, Isabel, Lani, Alma, and Ursula ran an 800 meter race. Alma beat isreal by 7 meters. Ursula beat betty 12 meters. Alma finished 5 meters ahead of Lani but 3 meters beh      Log On

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Question 332939: Betty, Cathy, Isabel, Lani, Alma, and Ursula ran an 800 meter race. Alma beat isreal by 7 meters. Ursula beat betty 12 meters. Alma finished 5 meters ahead of Lani but 3 meters behind Ursala. Cathy finished halfway between the first and last girls. In what order did the girls finish? What werre the distance between the girls?
Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!
Betty, Cathy, Isabel, Lani, Alma, and Ursula ran an 800 meter race. Alma beat isreal by 7 meters. Ursula beat betty 12 meters. Alma finished 5 meters ahead of Lani but 3 meters behind Ursala. Cathy finished halfway between the first and last girls. In what order did the girls finish? What werre the distance between the girls?

>>...Alma beat Isabel by 7 meters...<<

Indicate that with:

A      I
01234567


>>...Ursula beat betty 12 meters...<<

Indicate that with:

U           B   
0123456789012

>>...Alma finished 5 meters ahead of Lani...<<

Indicate that with:

A    L 
012345

>>...but (Alma finished) 3 meters behind Ursala...<<

Indicate that with this:

U  A
0123

--------------------

Now redraw them lining up the like letters vertically

   A      I
   01234567

U  A
0123

U           B   
0123456789012

   A    L 
   012345

---------------  Now bring them all down together, keeping the
                 letters lined up vertically :


U  A    L I B
0123456789012


Cathy finished halfway between the first and last girls. 

So we put C in the middle:

U  A  C L I B
0123456789012

So Ursula won and finished 3 meters ahead of Alma,
who finished 3 meters ahead of Cathy,
who finished 2 meters ahead of Lani,
who finished 2 meters ahead of Isabel,
who finished 2 meters ahead of Betty, who finished last.

Edwin