Answer:
142 sodas and 71 hot dogs were sold.
Step-by-step explanation:
Given:
The vender sold combined total of 213 sodas and hotdogs.
The quantity of soda vendor sold was two times the quantity of the hot dogs sold.
Now, to find the quantity of sodas and the hotdogs sold.
Let the quantity of hotdogs be [tex]x.[/tex]
Thus, the quantity of sodas = [tex]2x.[/tex]
Combined total of sodas and hotdogs sold = 213.
Now, to get the number of hotdogs and sodas sold we put an equation:
[tex]x+2x=213\\\\3x=213[/tex]
Dividing both sides by 3 we get:
[tex]x=71.[/tex]
The number of hotdogs sold = 71.
Now, substituting the value of [tex]x[/tex] we get:
[tex]2x\\\\=2\times 71\\\\=142.[/tex]
The number of sodas sold = 142.
Therefore, 142 sodas and 71 hot dogs were sold.
