Question

A web music store offers two versions of apopular song. The size of the standardversion is 2.1 megabytes (MB). The size of thehigh quality version is 4.7 MB. Yesterday, thehigh quality version was downloaded twice asoften as the standard version. The total sizedownloaded for the two versions was 3335MB. How many downloads of the standardversion were there?Number of standard version downloads:?

Answer 1

Number of standard version downloads: 290

Explanation:

• Let the number of downloads for the standard version(2.1MB) = s

Given that the high-quality version was downloaded twice as often as the standard version, then:

• The number of downloads for the high-quality version, (4.7MB) = 2s

The total size downloaded for the two versions was 3335MB.

`\implies2.1s+2(4.7)s=3335`

The equation above is then solved for s.

`\begin{gathered} 2.1s+9.4s=3335 \\ 11.5s=3335 \\ s=(3335)/(11.5) \\ s=290 \end{gathered}`

There were 290 downloads of the standard version.