Question

A Web music store offers two versions of a popular song. The size of the standard version is 2.7 megabytes (MB). The size of the high-quality version is 4.5 MB. Yesterday, there were 1420 downloads of the song, for a total download size of 5436 MB. How many downloads of the high-quality version were there?

Answer 1

Answer: 890 downloads the high-quality version

Explanation:

Let x be the number of downloads of the high-quality version

1420-x be the number of downloads of the standard version

So, we have the equation

4.5x + 2.7(1420-x) = 5436

4.5x + 3834 - 2.7x = 5436

1.8x + 3834 = 5436

Subtract 3834 on both sides

1.8x = 1602

x = 890