Question

a web music store offers two versions of a popular song. the size of the standard version is 2.3 megabytes (mb). the size of the high - quality version is 4.3 mb. yesterday, there were 1130 downloads of the song, for a total download size of 3379 mb. how many downloads of the high - quality version were there? number of high - quality version downloads:

Explanation:

Step1: Define variables

Let $x$ = number of high-quality downloads, $1130-x$ = standard downloads.

Step2: Set up total size equation

$$2.3(1130 - x) + 4.3x = 3379$$

Step3: Expand the left side

$$2599 - 2.3x + 4.3x = 3379$$

Step4: Simplify the equation

$$2599 + 2x = 3379$$

Step5: Isolate the variable term

$$2x = 3379 - 2599$$
$$2x = 780$$

Step6: Solve for x

$$x = \frac{780}{2}$$

Answer:

390