Question

A Web music store offers two versions of a popular song. The size of the standard version is 2.8 megabytes (MB). The size of the high-quality version is 4.5 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 4784 MB.How many downloads of the standard version were there?

Answer 1

Answer:

There were 644 downloads of the standard version

Step-by-step explanation:

Let x represent the standard version's download size

Then high quality's download size will be (4784 - x)

The high quality was downloaded 4 times, so 4 * 4.5 = 18 mb

Then the equation for the ratios below is correct

`(2.8)/(18)=(x)/(4784-x)`

Solving for x

`\begin{gathered} 18x=2.8(4784-x) \\ 18x=13395.2-2.8x \\ 18x+2.8x=13395.2 \\ 20.8x=13395.2 \\ x=(13395.2)/(20.8)=644 \end{gathered}`

There were 644 downloads of the standard version