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Weekly Problem 1

What I'm going to do from now on is a weekly problem and then a solution and a new problem the next week. Anyways here is the one to start off:


Weekly Problem Number 1





Phenom Labz is creating a vaccine for COVID- 19, called Solution Z. This vaccine involves a version of COVID that is injected (Ingredient B) and a cure that aids to dim the effects (Ingredient A).The facts are:


One ounce of Solution X contains only Ingredients A and B in a ratio of 2:3.


One ounce of Solution Y contains only Ingredients A and B in a ratio of 1:2.


One ounce of Solution V contains Ingredients A and B at a ratio of 3:1.


Every time Solution Z is created only 5 ounces of it is made because it is so dangerous. Solution Z is a combination of X, Y, V at a ratio of 4:6:8.


Once all of the Solution Z has been created, exactly 100 extra ounces of Ingredient A is added.


During the process of creating Solution Z, 6 ounces of Z is spilled.


If Phenom Labz creates Solution Z 180 times, and adds the extra Ingredient A, what is the ratio of A:B in total?



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