Question

A Web music store offers two versions of a popular song. The size of the standard version is 2.1 megabytes (MB). The size of the high-quality version is 4.1 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 5365 MB. How many downloads of the standard version were there?

Answer 1

Answer:

290

Step-by-step explanation:

Let the number of time the standard version was downloaded be "x", then the number of times the high-quality version was downloaded will be "4x".

The total MB downloaded for standard will be 2.1x, and the total MB downloaded for high-quality will be (4x*4.1)=16.4x.

So we have

$2.1x+16.4x=5365\\18.5x=5365\\x=290$

So there were 290 downloads of the standard version.