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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. Find
the number of sodas sold and the number of hot dogs sold.
Number of sodas sold:
Number of hot dogs sold:

Respuesta :

absor201

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 = 214

According to given statement;

x+y=214   Eqn 1

y= x-34   Eqn 2

Putting 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 method

Learn more about linear equations at:

  • brainly.com/question/10772025
  • brainly.com/question/10879401

#LearnwithBrainly

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