Problema Solution

a web music store offers two versions of a popular song. The size of the standard version is 2.3 megabytes. the size of the high-quality version is 4.6 megabytes. Yesterday, there was 950 downloads of the song, for a total download size of 3634 megabytes. How many downloads of the standard 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 950 downloads of the song meaning:

s + h = 950

The download size of the standard versions + The download size of the high quality versions = Total download size

2.3s + 4.6h = 3634

We have the following system of equations:

s + h = 950

2.3s + 4.6h = 3634

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click here to see the system of equations solved for s and h

........

s = 630 downloads of the standard version

h = 320 downloads of the high-quality version

There were 630 downloads of the standard version.