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 n

Question

3 years ago

14

umber 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:

1 answer:

Archy [21] · Answer 1 · 2022-02-12T09:23:26+03:00

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;

$x+(x-34)=214\\x+x-34=214\\2x=214+34\\2x=248$

Dividing both sides by 2;

$\frac{2x}{2}=\frac{248}{2}\\x=124$

Putting x=124 in Eqn 2;

$y=124-34\\y=90$

The vendor sold 124 sodas and 90 hot dogs.

Keywords: linear equations, substitution method

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