Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Sep 15, 2023

Find the number of downloads of a song with standard version size $x$ MB, given that there were 920 total downloads with a total download size of 3412 MB.

STEP 1

Assumptions1. The download size of the standard version of the song is $x$ MB. Yesterday, there were920 downloads of the song3. The total download size of the song was341 MB

STEP 2

We know that the total download size is equal to the number of downloads multiplied by the size of each download. We can express this as an equation.
$Total\, download\, size = Number\, of\, downloads \\times Size\, of\, each\, download$

STEP 3

Now, plug in the given values for the total download size, the number of downloads, and the size of each download to form the equation.
$3412 =920 \\times x$

STEP 4

To find the value of $x$ , we can rearrange the equation by dividing both sides by920.
$x = \frac{3412}{920}$

STEP 5

Calculate the value of $x$ .
$x = \frac{3412}{920} =3.71$ The download size of the standard version of the song is3.71 MB.

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