Chris bought 2 chicken sandwiches and 3 bowls of vegetable soup for $50, not including tax. Jim bought 1 chicken sandwich and 2 bowls of vegetable soup for$9.50, not including tax. What was the cost of a bowl of soup?
so 2c+3v=50 and c+2v=9.5 c+2v=9.5 subtract 2 v from both sides c=9.5-2v subsitute c=9.5-2v for c in 2c+3v=50 2(9.5-2v)+3v=50 distribute 19-4v+3v=50 add like terms 19-v=50 add v to both sides 19=50+v subtract 50 from both sides -31=v the value of foods are never negative so there is no solution
2c + 3v = $50 ; 1c + 2v =$9.50 / * 2 ; 2c + 4v =$19; 2c + 3v + v =$19; $50 + v =$19; v = -$31; False, because v > 0 ; There is something wrong with this problem !
