a) Suppose you are able to download 1 free song to your tablet daily and each additional download costs $0.59. If your monthly bill is $15.34, how many songs did you download if you downloaded 28 free songs? Write an equation and solve for the unknown variable.

Respuesta :

Answer:

The downloaded songs are 54.

Step-by-step explanation:

Each additional download costs $0.59.

Let the additional songs be represented by 'a'

So, total cost of these songs become = 0.59a

Number of free songs downloaded = 28

The monthly bill = $15.34

So, the equation representing this situation becomes:

[tex]a=28+ (15.34/0.59)[/tex]

[tex]a=28+26[/tex]

Hence, a = 54

Therefore, the downloaded songs are 54.

54 songs were downloaded

Let m represent paid downloaded songs

Total cost of songs downloaded = m x cost of each additional download

m x $0.59 = $0.59m

The total cost of songs downloaded = $15.34

$15.34 =   $0.59m

Divide both sides of the equation by  $0.59

m = 26 songs

I downloaded 26 paid songs

Total music downloaded = total free songs + total paid songs

26 + 28 = 54 songs

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