Question

A Web music store offers two versions of a popular song. The size of the standard version is 2.9 megabytes (MB). The size of the high-quality version is 4.5 MB. Yesterday, there were 1210 downloads of the song, for a total download size of 4869 MB. How many downloads of the standard version were there?

Answer 1

\[
2.9x+4.5y=4869\\
x+y=1210
\]

Answer 2

Where \(x\) is standard version sales and \(y\) is hq version sales.

Answer 3

@wio okay

Answer 4

multiply the bottom equation by \(-4.5\). What do you get?

Answer 5

The x+y=1210 one? @wio

Answer 6

Yes,

Answer 7

-5445 @wio

Answer 8

What is the entire equation though?

Answer 9

-4.5x-4.57=-5445? @wio

Answer 10

Okay, now add that equation to the top equation.

Answer 11

1.6x=576 @wio

Answer 12

Okay what is next?

Answer 13

x=360

Answer 14

Okay.

Answer 15

@wio

Answer 16

that's my answer?

Answer 17

Yes.

Answer 18

thank you!

Answer 19

@wio