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 4.3 MB. Yesterday, there were 1290 downloads of the song, for a total download size of 4403 MB. How many downloads of the high-quality version were there?

Answer 1

770 high-quality songs were downloaded

Explanation:

A web music store offerst two versions:

• Standard Version = 2.1 MB
• High-Quality Version = 4.3MB

There were 1290 for a total download size of 4403MB.

According to the information above, we have the following system of equations:

A + B =1290

2.1A + 4.3B = 4403

Where 'A' referst to the number of Standard songs and 'B' refers to the number of High Quality songs.

Solving the sistem of equations we get that:

A + B =1290 ⇒ A = 1290 - B

2.1A + 4.3B = 4403 ⇒ 2.1(1290 - B) + 4.3B = 4403

⇒ 2709 - 2.1B + 4.3B = 4403 ⇒ 2.2B = 1694 ⇒ B=770

Now, let's find the value of 'A':

A + B =1290 ⇒ A = 1290 - 770 ⇒ A = 520.

Therefore, 770 high-quality songs were downloaded.