Question

A Web music store offers two versions of a popular song. The size of the standard version is 2.3 megabytes (MB). The size of the high-quality version is 4.9 MB. Yesterday, the high-quality version was downloaded twice as often as the standard version. The total size downloaded for the two versions was 2904 MB.

How many downloads of the standard version were there?

Answer 1

Answer: 240

Explanation:

Let x be the number of standard version and y be the number of high- quality version.

According to the question, we get the following equations

`2x=y...(1)\\2.3x+4.9y=2904.........(2)`

Substitute y=2x in (2), we get

`2.3x+4.9(2x)=2904\\\Rightarrow2.3x+9.8x=2904\\\Rightarrow12.1x=2904\\\Rightarrow\ x=(2904)/(12.1)\\\Rightarrow\ x=(29040)/(121)\\\Rightarrow\ x=240`

Substitute x= 240 in (1), we get

Thus, the number of standard versions downloads = 240