Answer:
The number of sodas are 96 and the number of hotdogs are 48.
Step-by-step explanation:
Given:
A vendor sold a combined total of 144 sodas and hotdogs.
The number of sodas sold was two times the number of hotdogs.
Now, to find the number of sodas and the number of hotdogs.
Let the number of hotdogs sold be [tex]x[/tex].
And the number of sodas sold be [tex]2x.[/tex]
Total sold of combined sodas and hotdogs = 144.
According to question:
[tex]x+2x=144.[/tex]
⇒ [tex]3x=144.[/tex]
Dividing both sides by 3 we get:
⇒ [tex]x=48.[/tex]
Number of hotdogs = 48.
Now, to get the number of sodas by putting the value of [tex]x[/tex] :
[tex]2x=2\times 48=96.[/tex]
Number of sodas = 96.
Therefore, the number of sodas are 96 and the number of hotdogs are 48.