Question Number 125915 by john_santu last updated on 15/Dec/20
$${Darren}\:{McFaddden}\:{of}\:{Arkansas} \\ $$$${placed}\:{second}\:{overall}\:{in}\:{the}\:{Heisman} \\ $$$${Trophy}\:{voting}.\:{Players}\:{are}\:{given} \\ $$$$\mathrm{3}\:{points}\:{for}\:{every}\:{first}−{place}\:{vote}\: \\ $$$$,\:\mathrm{2}\:{points}\:{for}\:{every}\:{second}−{place}\:{vote} \\ $$$${and}\:\mathrm{1}\:{point}\:{for}\:{every}\:{third}−{place}\:{vote}. \\ $$$${McFadden}\:{received}\:\mathrm{490}\:{total}\:{votes} \\ $$$${for}\:{first}\:,\:{second}\:{and}\:{third}\:{place}\: \\ $$$${for}\:{a}\:{total}\:\mathrm{878}\:{points}\:.\:{If}\:{he}\:{had} \\ $$$$\mathrm{4}\:{more}\:{than}\:{twice}\:{as}\:{many}\:{second} \\ $$$$−{place}\:{votes}\:{as}\:{third}−{place}\:{votes},\:{how} \\ $$$${many}\:{votes}\:{did}\:{he}\:{received}\:{for} \\ $$$${each}\:{place}? \\ $$$$ \\ $$
Answered by liberty last updated on 15/Dec/20