Question

A Web music store offers two versions of a popular song. The size of the standard version is 2.7 megabytes (MB). The size of the high-quality version is 4.6 MB. Yesterday, there were 800 downloads of the song, for a total download size of 3262 MB. How many downloads of the standard version were there?

Answer 1

There is 220 downloads of the standard version.

Explanation:

Let us assume that there is a download of x numbers of the standard version and y number of downloads of high-quality versions.

Given that, x + y = 800 ......... (1) and

2.7x + 4.6y = 3262 .......... (2)

{Since, that each standard version is of 2.7 MB and each high-quality version is of 4.6 MB and there is download of 3262 MB in total}

Now. solving (1) and (2) we get,

4.6y - 2.7y = 3262 - (2.7 × 800)

⇒ 1.9y = 1102

⇒ y = 580

Now, from equation (1), x = 800 - 580 = 220.

Therefore, there are 220 downloads of the standard version. (Answer)