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, there were 1040 downloads of the song, for a total download size of 2764 MB. How many downloads of the high-quality version were there?

Answer 1

Answer: There were 290 downloads of the high-quality version.

Explanation:

Let be "s" the number of downloads of the standard version and "h" the number of downloads of the high-quality version.

Set up a system of equations:

`\left \{ {{s+h=1040 } \atop {2.1s+4.1h=2764}} \right.`

You can use the Elimination method. Multiply the first equation by -2.1, add the equations and then solve for "h":

`\left \{ {{-2.1s-2.1h=-2184} \atop {2.1s+4.1h=2764}} \right.\\..............................\\2h=580\\\\h=(580)/(2)\\\\h=290`

Therefore, there were 290 downloads of the high-quality version.