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Alejandro downloads some videos and music to his computer. Each video he downloads costs $5 and each song costs $1. He downloads a
total of 26 videos and songs for a total cost of $54. How many videos does Alejandro download?

Respuesta :

Answer:

Alejandro downloaded 7 videos.

Step-by-step explanation:

Let [tex]x[/tex] videos and [tex]y[/tex] songs be downloaded.

Given:

Cost of 1 video = $ 5

∴ Cost of x videos = [tex]5x[/tex]

Cost of 1 song = $ 1

∴ Cost of y songs = [tex]y[/tex]

Total cost for the downloads is $ 54.

So, [tex]5x+y=54[/tex] ................. 1

Also, total number of downloads is 26.

So, [tex]x + y = 26[/tex] ............... 2

Subtract equation 2 from 1, we get

[tex]5x-x+y-y=54-26\\4x=28\\x=\frac{28}{4}=7[/tex]

Therefore, the number of videos downloaded are 7.

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