johkeiyoung26
contestada

A web store offers two versions of a popular song. The size of the standard version is 2.2 megabytes. The size of the high quality version is 4.2 megabytes. Yesterday, there were 1370 downloads of the song, for a total download size of 4034 megabytes. How many downloads of high-quality version were there

Respuesta :

absor201

There were 510 downloads of high quality version.

Step-by-step explanation:

Given,

Size of standard version = 2.2 MB

Size of HQ version = 4.2 MB

Total songs downloaded = 1370 songs

Total size of songs = 4034 MB

Let,

x represent the number of standard version songs

y represent the number of HQ version songs

According to given statement;

x+y=1370     Eqn 1

2.2x+4.2y=4034    Eqn 2

Multiplying Eqn 1 by 2.2

[tex]2.2(x+y=1370)\\2.2x+2.2y=3014\ \ \ Eqn\ 3[/tex]

Subtracting Eqn 3 from Eqn 2

[tex](2.2x+4.2y)-(2.2x+2.2y)=4034-3014\\2.2x+4.2y-2.2x-2.2y=1020\\2y=1020[/tex]

Dividing both sides by 2

[tex]\frac{2y}{2}=\frac{1020}{2}\\y=510[/tex]

There were 510 downloads of high quality version.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/12223460
  • brainly.com/question/12284722

#LearnwithBrainly

Otras preguntas