Answer:
the associative property
Step-by-step explanation:
the associative property allows the numbers to add regardless of how you group the numbers
First we are going to set up two equations:
1)
2)
where x is the number of hotdogs sold, and y is the number of sodas sold. Let's subtract x from the second equation and set equal to 0:
1)
2)
Then let's add the two equations together to cancel out the y variable:
+
---------------------------------
Then solve for x:
So then return to equation 1 and plug in x to solve for y:
So then we know that x = 42 and y = 126; therefore, there were 42 hotdogs sold, and there were 126 sodas sold.
Yes, it is geometric and the ratio is 3/4. You can tell because you can divide each one by the one before and you get 3/4. (3/16)/(1/4)=3/4, (9/64)/(3/16)=3/4, and so on.
Hope that helps