At a baseball game, a vender sold a combined total of 214 sodas and hot dogs. The number of hot dogs sold was 34 less than the number of sodas sold. Findthe number of sodas sold and the number of hot dogs sold.Number of sodas sold:Number of hot dogs sold:

The vendor sold 124 sodas and 90 hot dogs.Step-by-step explanation:Let,x be the number of sodas.y be the number of hot dogs.Total sold = 214According to given statement; x+y=214   Eqn 1y= x-34   Eqn 2Putting value of Eqn 2 in Eqn 1;[tex]x+(x-34)=214\\x+x-34=214\\2x=214+34\\2x=248[/tex]Dividing both sides by 2;[tex]\frac{2x}{2}=\frac{248}{2}\\x=124[/tex]Putting x=124 in Eqn 2;[tex]y=124-34\\y=90[/tex]The vendor sold 124 sodas and 90 hot dogs.Keywords: linear equations, substitution methodLearn more about linear equations at:brainly.com/question/10772025brainly.com/question/10879401#LearnwithBrainly