Question

A Web music store offers two versions of a popular song. The size of the standard version is 2.5 megabytes (MB). The size of the high-quality version is 4.4 MB. Yesterday, there were 1140 downloads of the song, for a total download size of 4522 MB. How many downloads of the standard version were there?

Answer 1

the number of downloads of the standard version is 260

Explanation:

Let us assume the downloads of the standard version be x

And, the download of the high-quality version be y

Now as per the question

2.5x + 4.4y = 4522 .........(1)

x + y = 1140

y = 1140 - x .......................(2)

Now put the value of equation 2 in the equation 1

So,

2.5x + 4.4 (1140 - x) = 4522

2.5x + 5016 - 4.4x = 4522

-1.9x = -494

x = 260

Hence, the number of downloads of the standard version is 260