By knowing the ratio of 2-bedroom apartments to studios, we want to know which percent of apartments in the building are studios. We will see that 52% of the apartments are studios.
So we know that the ratio of 2-bedroom apartments is 12 to 13.
This means that for every 12 2-bedroom apartments there are 13 studios.
Now, suppose that in the whole building there are only 12 2-bedroom apartments and 13 studios, then there are 25 apartments in total.
Then the percentage of apartments in the building that are studios is just the quotient between the number of studios and the total number of apartments times 100%, this is:
P = (13/25)*100% = 52%
Now, suppose that there are more than 25 apartments, such that there are:
N = 12*k 2-bedroom apartments.
M = 13*k studios.
We write them in that way because the ratio must be conserved.
Then the percentage will be:
P = (13*k)/(12*k + 13*k)*100% = (13/25)*100% = 52%
So we got again the same result as before, so as long as the ratio remains conserved, the percentage of studios will always be 52%.
If you want to know more about percentages, you can read:
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