SOLUTION: Please help me solve this word problem . Adams High prevailed in a track meet with the help of 20 individual-event placers earning a combined 68 points. A first-place finish ea

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Question 1159611: Please help me solve this word problem .
Adams High prevailed in a track meet with the help of 20 individual-event placers earning a combined 68 points. A first-place finish earns 5 points, a second place finish earns 3 points, and a third-place finish earns 1 point. Adams had a strong second place showing, with as many second-place finishers as first-and third place finishers combined. Use a system of linear equations to model the data. Solve the system to find how many athletes finished in each place.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the number of 1st place finishes

Let represent the number of 3re place finishes

Then the number of 2nd place finishes must be

Given:



and



Simplify to a 2X2 system and solve (I did it by elimination, but any standard method will work).


John

My calculator said it, I believe it, that settles it