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 4.9 MB. Yesterday, there were 1440 downloads of the song, for a total download size of 5120 MB. How many downloads of the high-quality version were there?

There were 560 high-quality version downloads of the song yesterday

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Size of the standard version = 2.7 MB

Size of the high-quality version = 4.9 MB

Number of downloads of the song yesterday = 1,440

Download size yesterday = 5,120 MB

2. How many downloads of the high-quality version were there?

For answering the question we will use the following equation:

x = Number of high-quality downloads of the song yesterday

1,440 - x = Number of standard downloads of the song yesterday

Number of high-quality downloads of the song yesterday * Size of the high-quality version + Number of standard downloads of the song yesterday * Size of the standard version = Download size yesterday

Replacing with the real values, we have:

4.9x + (1,440 - x) * 2.7 = 5,120

4.9x + 3,888 - 2.7x = 5,120

2.2x = 5,120 - 3,888

2.2x = 1,232

x = 1,232/2.2 = 560

x = 560 ⇒ (1,440 - x) = 880

There were 560 high-quality version downloads of the song yesterday and 880 standard version.