faraz_jeddah wrote:Can you give a deeper explanation on how you get 2/n?
Let us assume on the 1st day, x liters of orange juice was mixed with x liters of water.
So, total amount of orangeade = (x + x) = 2x liters
If each glass contained n liters of orangeade, total number of glasses sold = 2x/n
For simplicity, I've assumed x = 1 as
it doesn't matter how much juice was mixed with how much water as long as they are same. But if you are not convinced, we can proceed using with x in the same way.
As price per glass was $0.60, total revenue on the 1st day = $(0.60)*(2x/n)
On the 2nd day, x liters of orange juice was mixed with 2x liters of water.
So, total amount of orangeade = (x + 2x) = 3x liters
If each glass contained n liters of orangeade, total number of glasses sold = 3x/n
Total revenue on the 2nd day = Total revenue on the 1st day = (0.60)*(2x/n)
Hence, price per glass on the 2nd day = (Total revenue)/(number of glasses sold) = (0.60)*(2x/n)/(3x/n) = (0.60)*(2x/n)*(n/3x) = (0.20)*2 = 0.40
--------------------------------------------------------------------
In fact, if you understand the underlined part, then you'll see that we can assume n = 1 too. That means, on the first day 1 glass of juice was mixed with 1 glass of water to get 2 glasses of orangeade. So, total revenue on 1st day = $(0.60)*2 = $1.20
Now, on the second day 1 glass of juice was mixed with 2 glasses of water to get 3 glasses of orangeade. As the revenue on the 2nd day is also $1.20, the price per glass must be $1.20/3 = $0.40
Hope that helps.
