Question 1189424
<font color=black size=3>
m = amount of money Ryan brought
m/3 = one third of that amount


If Ryan gives 1/3 of his money to his sister, then he has 2/3 of it left.
m - (m/3) = 1m - (1/3)m = (1-1/3)m = (2/3)m
Note how the fractions 1/3 and 2/3 add to 1.


We subtract off $6 to represent buying the popcorn
(2/3)m - 6
That expression is the amount of money Ryan has left after buying everything mentioned earlier (tickets, hotdogs, popcorn). 


We're told he has $34 left, so,
(2/3)m - 6 = 34
(2/3)m = 34+6
(2/3)m = 40
2m = 3*40
2m = 120
m = 120/2
m = 60


Ryan brought $60 with him initially
1/3 of this is 60/3 = 20 dollars
$16 of which goes to the bleacher tickets (since 2*8 = 16). 
That leaves 20-16 = 4 dollars left over for the two hotdogs. 


Therefore, each hotdog costs 4/2 = 2 dollars.


<font color=red>Answer:  2 dollars</font>
</font>