Question

a web music store offers two versions of a popular song. the size of the standard version is 2.9 megabytes (MB). the size of the high-quality version is 4.8 MB. yesterday, the high-quality version was downloaded four times as often as the standard version. The total size downloaded for the two versions was 6188 MB. How many downloads of the standard version were there?​

Answer 1

280 downloads

Explanation:

-let x denote the number of standard version downloads.

-Given that the high-quality version was downloaded four times as often as the standard version it is denoted as 4x

-This can then be expressed as:

`x(2.9)+4x(4.8)=6188\\\\2.9x+19.2x=6188\\\\22.10x=6188\\\\x=280`

Hence, the number of standard version downloads is 280