SOLUTION: Betty,Cathy,Isabel,Lani,Alma,Ursula ran an 800-meter race.Alma beat Isabel by 7 meters.Ursula beat betty by 12 meters.Alma finishedw 5 meters ahead of Lani but 3 meters behind Ursu

Question 141671This question is from textbook problem solving strategies
: Betty,Cathy,Isabel,Lani,Alma,Ursula ran an 800-meter race.Alma beat Isabel by 7 meters.Ursula beat betty by 12 meters.Alma finishedw 5 meters ahead of Lani but 3 meters behind Ursula.Cathy finished halfway between the first and last girls.In what order did the girls finish?What were the distances between each girl? This question is from textbook problem solving strategies

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Betty,Cathy,Isabel,Lani,Alma,Ursula ran an 800-meter race.
:
Write a simple equation for each statement:
:
"Alma beat Isabel by 7 meters."
A = I + 7
:
Ursula beat betty by 12 meters.
U = B + 12
:
Alma finished 5 meters ahead of Lani
A = L + 5
:
but 3 meters behind Ursula.
U = A + 3
:
Cathy finished halfway between the first and last girls.
:
In what order did the girls finish?What were the distances between each girl?
:
The easiest way is to draw a diagram from the above information. Let 1 dash "-" = 1 meter
:
U---A-----L--I--B; 12 meters from 1st to last, Put C in the middle
:
U---A---C--L--I--B
:
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