Problema Solution
A web music store offers two versions of a popular son. The size of the standard version is 2.9 megabytes. The size of a high quality version is 4.5 megabytes. Yesterday, there were 1500 downloads of the song, for a total download size of 5326 megabytes. How many downloads of the high-quality version were there?
Answer provided by our tutors
let
s = the number of downloads of the standard version
h = the number of downloads of the high quality version
there were 1500 downloads of the song thus
s + h = 1500
the download size of the standard version + the download size of the standard version of the high quality version = total download size of 5326 megabytes
2.9s + 4.5h = 5236
by solving the system of equations
s + h = 1500
2.9s + 4.5h = 5236
we find
s = 946.25 downloads
h = 553.75 downloads
click here to see the step by step solution of the system of equations
there were 553.75 downloads of the high quality version.