Darren McFaddden of Arkansas placed second overall in the Heisman Trophy voting. Players are given 3 points for every first−place vote , 2 points for every second−place vote and 1 point for every third−place vote. McFadden received 490 total votes for first , second and third place for a total 878 points . If he had 4 more than twice as many second −place votes as third−place votes, how many votes did he received for each place?


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Question Number 125915 by john_santu last updated on 15/Dec/20

$D a r r e n M c F a d d d e n o f A r k a n s a s$ $p l a c e d s e c o n d o v e r a l l i n t h e H e i s m a n$ $T r o p h y v o t i n g . P l a y e r s a r e g i v e n$ $3 p o i n t s f o r e v e r y f i r s t - p l a c e v o t e$ $, 2 p o i n t s f o r e v e r y s e c o n d - p l a c e v o t e$ $a n d 1 p o i n t f o r e v e r y t h i r d - p l a c e v o t e .$ $M c F a d d e n r e c e i v e d 490 t o t a l v o t e s$ $f o r f i r s t, s e c o n d a n d t h i r d p l a c e$ $f o r a t o t a l 878 p o i n t s . I f h e h a d$ $4 m o r e t h a n t w i c e a s m a n y s e c o n d$ $- p l a c e v o t e s a s t h i r d - p l a c e v o t e s, h o w$ $m a n y v o t e s d i d h e r e c e i v e d f o r$ $e a c h p l a c e ?$
	Answered by liberty last updated on 15/Dec/20

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